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Finding the Third Proportional to 261,920 and 562,072

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Solution

The third proportional to 261,920 and 562,072 is: 1,206,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,920 : 562,072 = 562,072 : x
  2. Step 2: Convert to fraction form
    261,920/562,072 = 562,072/x
  3. Step 3: Cross multiply
    261,920x = 562,072 × 562,072
  4. Step 4: Simplify right side
    261,920x = 315,924,933,184
  5. Step 5: Solve for x
    x = 315,924,933,184/261,920
  6. Step 6: Final answer
    x = 1,206,188.66

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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.