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Finding the Third Proportional to 272,338 and 598,432

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Solution

The third proportional to 272,338 and 598,432 is: 1,314,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,338 : 598,432 = 598,432 : x
  2. Step 2: Convert to fraction form
    272,338/598,432 = 598,432/x
  3. Step 3: Cross multiply
    272,338x = 598,432 × 598,432
  4. Step 4: Simplify right side
    272,338x = 358,120,858,624
  5. Step 5: Solve for x
    x = 358,120,858,624/272,338
  6. Step 6: Final answer
    x = 1,314,986.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.