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Finding the Third Proportional to 497,124 and 781,110

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Solution

The third proportional to 497,124 and 781,110 is: 1,227,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,124 : 781,110 = 781,110 : x
  2. Step 2: Convert to fraction form
    497,124/781,110 = 781,110/x
  3. Step 3: Cross multiply
    497,124x = 781,110 × 781,110
  4. Step 4: Simplify right side
    497,124x = 610,132,832,100
  5. Step 5: Solve for x
    x = 610,132,832,100/497,124
  6. Step 6: Final answer
    x = 1,227,325.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.