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Finding the Third Proportional to 504,814,700.25 and 775,457,187.75

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Solution

The third proportional to 504,814,700.25 and 775,457,187.75 is: 1,191,197,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,814,700.25 : 775,457,187.75 = 775,457,187.75 : x
  2. Step 2: Convert to fraction form
    504,814,700.25/775,457,187.75 = 775,457,187.75/x
  3. Step 3: Cross multiply
    504,814,700.25x = 775,457,187.75 × 775,457,187.75
  4. Step 4: Simplify right side
    504,814,700.25x = 601,333,850,033,138,688
  5. Step 5: Solve for x
    x = 601,333,850,033,138,688/504,814,700.25
  6. Step 6: Final answer
    x = 1,191,197,185.29

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