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Finding the Third Proportional to 399,464 and 561,877

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Solution

The third proportional to 399,464 and 561,877 is: 790,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,464 : 561,877 = 561,877 : x
  2. Step 2: Convert to fraction form
    399,464/561,877 = 561,877/x
  3. Step 3: Cross multiply
    399,464x = 561,877 × 561,877
  4. Step 4: Simplify right side
    399,464x = 315,705,763,129
  5. Step 5: Solve for x
    x = 315,705,763,129/399,464
  6. Step 6: Final answer
    x = 790,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.