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Finding the Third Proportional to 233,418 and 370,542

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Solution

The third proportional to 233,418 and 370,542 is: 588,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,418 : 370,542 = 370,542 : x
  2. Step 2: Convert to fraction form
    233,418/370,542 = 370,542/x
  3. Step 3: Cross multiply
    233,418x = 370,542 × 370,542
  4. Step 4: Simplify right side
    233,418x = 137,301,373,764
  5. Step 5: Solve for x
    x = 137,301,373,764/233,418
  6. Step 6: Final answer
    x = 588,221.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.