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Finding the Third Proportional to 462,342 and 725,461

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Solution

The third proportional to 462,342 and 725,461 is: 1,138,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,342 : 725,461 = 725,461 : x
  2. Step 2: Convert to fraction form
    462,342/725,461 = 725,461/x
  3. Step 3: Cross multiply
    462,342x = 725,461 × 725,461
  4. Step 4: Simplify right side
    462,342x = 526,293,662,521
  5. Step 5: Solve for x
    x = 526,293,662,521/462,342
  6. Step 6: Final answer
    x = 1,138,321.12

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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.