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Finding the Third Proportional to 261,918 and 562,068

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Solution

The third proportional to 261,918 and 562,068 is: 1,206,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,918 : 562,068 = 562,068 : x
  2. Step 2: Convert to fraction form
    261,918/562,068 = 562,068/x
  3. Step 3: Cross multiply
    261,918x = 562,068 × 562,068
  4. Step 4: Simplify right side
    261,918x = 315,920,436,624
  5. Step 5: Solve for x
    x = 315,920,436,624/261,918
  6. Step 6: Final answer
    x = 1,206,180.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.