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Finding the Third Proportional to 261,864 and 562,482

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Solution

The third proportional to 261,864 and 562,482 is: 1,208,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,864 : 562,482 = 562,482 : x
  2. Step 2: Convert to fraction form
    261,864/562,482 = 562,482/x
  3. Step 3: Cross multiply
    261,864x = 562,482 × 562,482
  4. Step 4: Simplify right side
    261,864x = 316,386,000,324
  5. Step 5: Solve for x
    x = 316,386,000,324/261,864
  6. Step 6: Final answer
    x = 1,208,207.31

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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.