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Finding the Third Proportional to 462,439.13 and 725,608.13

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Solution

The third proportional to 462,439.13 and 725,608.13 is: 1,138,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,439.13 : 725,608.13 = 725,608.13 : x
  2. Step 2: Convert to fraction form
    462,439.13/725,608.13 = 725,608.13/x
  3. Step 3: Cross multiply
    462,439.13x = 725,608.13 × 725,608.13
  4. Step 4: Simplify right side
    462,439.13x = 526,507,151,066.02
  5. Step 5: Solve for x
    x = 526,507,151,066.02/462,439.13
  6. Step 6: Final answer
    x = 1,138,543.70

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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.