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Finding the Third Proportional to 264,387 and 581,262

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Solution

The third proportional to 264,387 and 581,262 is: 1,277,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,387 : 581,262 = 581,262 : x
  2. Step 2: Convert to fraction form
    264,387/581,262 = 581,262/x
  3. Step 3: Cross multiply
    264,387x = 581,262 × 581,262
  4. Step 4: Simplify right side
    264,387x = 337,865,512,644
  5. Step 5: Solve for x
    x = 337,865,512,644/264,387
  6. Step 6: Final answer
    x = 1,277,920.29

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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.