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Finding the Third Proportional to 504,712 and 775,777

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Solution

The third proportional to 504,712 and 775,777 is: 1,192,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,712 : 775,777 = 775,777 : x
  2. Step 2: Convert to fraction form
    504,712/775,777 = 775,777/x
  3. Step 3: Cross multiply
    504,712x = 775,777 × 775,777
  4. Step 4: Simplify right side
    504,712x = 601,829,953,729
  5. Step 5: Solve for x
    x = 601,829,953,729/504,712
  6. Step 6: Final answer
    x = 1,192,422.52

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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.