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Finding the Third Proportional to 542,124 and 724,491

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Solution

The third proportional to 542,124 and 724,491 is: 968,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,124 : 724,491 = 724,491 : x
  2. Step 2: Convert to fraction form
    542,124/724,491 = 724,491/x
  3. Step 3: Cross multiply
    542,124x = 724,491 × 724,491
  4. Step 4: Simplify right side
    542,124x = 524,887,209,081
  5. Step 5: Solve for x
    x = 524,887,209,081/542,124
  6. Step 6: Final answer
    x = 968,205.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.