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Finding the Third Proportional to 409,878.56 and 573,167.81

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Solution

The third proportional to 409,878.56 and 573,167.81 is: 801,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,878.56 : 573,167.81 = 573,167.81 : x
  2. Step 2: Convert to fraction form
    409,878.56/573,167.81 = 573,167.81/x
  3. Step 3: Cross multiply
    409,878.56x = 573,167.81 × 573,167.81
  4. Step 4: Simplify right side
    409,878.56x = 328,521,341,286.04
  5. Step 5: Solve for x
    x = 328,521,341,286.04/409,878.56
  6. Step 6: Final answer
    x = 801,508.96

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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.