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Finding the Third Proportional to 458,875.13 and 738,747

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Solution

The third proportional to 458,875.13 and 738,747 is: 1,189,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,875.13 : 738,747 = 738,747 : x
  2. Step 2: Convert to fraction form
    458,875.13/738,747 = 738,747/x
  3. Step 3: Cross multiply
    458,875.13x = 738,747 × 738,747
  4. Step 4: Simplify right side
    458,875.13x = 545,747,130,009
  5. Step 5: Solve for x
    x = 545,747,130,009/458,875.13
  6. Step 6: Final answer
    x = 1,189,315.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.