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Finding the Third Proportional to 259,310 and 562,882

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Solution

The third proportional to 259,310 and 562,882 is: 1,221,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,310 : 562,882 = 562,882 : x
  2. Step 2: Convert to fraction form
    259,310/562,882 = 562,882/x
  3. Step 3: Cross multiply
    259,310x = 562,882 × 562,882
  4. Step 4: Simplify right side
    259,310x = 316,836,145,924
  5. Step 5: Solve for x
    x = 316,836,145,924/259,310
  6. Step 6: Final answer
    x = 1,221,843.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.