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Finding the Third Proportional to 306,528 and 462,744

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Solution

The third proportional to 306,528 and 462,744 is: 698,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,528 : 462,744 = 462,744 : x
  2. Step 2: Convert to fraction form
    306,528/462,744 = 462,744/x
  3. Step 3: Cross multiply
    306,528x = 462,744 × 462,744
  4. Step 4: Simplify right side
    306,528x = 214,132,009,536
  5. Step 5: Solve for x
    x = 214,132,009,536/306,528
  6. Step 6: Final answer
    x = 698,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.