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Finding the Third Proportional to 409,882 and 573,173

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Solution

The third proportional to 409,882 and 573,173 is: 801,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,882 : 573,173 = 573,173 : x
  2. Step 2: Convert to fraction form
    409,882/573,173 = 573,173/x
  3. Step 3: Cross multiply
    409,882x = 573,173 × 573,173
  4. Step 4: Simplify right side
    409,882x = 328,527,287,929
  5. Step 5: Solve for x
    x = 328,527,287,929/409,882
  6. Step 6: Final answer
    x = 801,516.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.