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Finding the Third Proportional to 261,616 and 546,920

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Solution

The third proportional to 261,616 and 546,920 is: 1,143,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,616 : 546,920 = 546,920 : x
  2. Step 2: Convert to fraction form
    261,616/546,920 = 546,920/x
  3. Step 3: Cross multiply
    261,616x = 546,920 × 546,920
  4. Step 4: Simplify right side
    261,616x = 299,121,486,400
  5. Step 5: Solve for x
    x = 299,121,486,400/261,616
  6. Step 6: Final answer
    x = 1,143,360.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.