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Finding the Third Proportional to 504,814,783.78 and 775,457,298.14

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Solution

The third proportional to 504,814,783.78 and 775,457,298.14 is: 1,191,197,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,814,783.78 : 775,457,298.14 = 775,457,298.14 : x
  2. Step 2: Convert to fraction form
    504,814,783.78/775,457,298.14 = 775,457,298.14/x
  3. Step 3: Cross multiply
    504,814,783.78x = 775,457,298.14 × 775,457,298.14
  4. Step 4: Simplify right side
    504,814,783.78x = 601,334,021,239,550,464
  5. Step 5: Solve for x
    x = 601,334,021,239,550,464/504,814,783.78
  6. Step 6: Final answer
    x = 1,191,197,327.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.