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Finding the Third Proportional to 557,665 and 841,729.50

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Solution

The third proportional to 557,665 and 841,729.50 is: 1,270,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,665 : 841,729.50 = 841,729.50 : x
  2. Step 2: Convert to fraction form
    557,665/841,729.50 = 841,729.50/x
  3. Step 3: Cross multiply
    557,665x = 841,729.50 × 841,729.50
  4. Step 4: Simplify right side
    557,665x = 708,508,551,170.25
  5. Step 5: Solve for x
    x = 708,508,551,170.25/557,665
  6. Step 6: Final answer
    x = 1,270,491.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.