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Finding the Third Proportional to 264,432 and 581,352

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Solution

The third proportional to 264,432 and 581,352 is: 1,278,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 581,352 = 581,352 : x
  2. Step 2: Convert to fraction form
    264,432/581,352 = 581,352/x
  3. Step 3: Cross multiply
    264,432x = 581,352 × 581,352
  4. Step 4: Simplify right side
    264,432x = 337,970,147,904
  5. Step 5: Solve for x
    x = 337,970,147,904/264,432
  6. Step 6: Final answer
    x = 1,278,098.52

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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.