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Finding the Third Proportional to 403,802 and 588,174

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Solution

The third proportional to 403,802 and 588,174 is: 856,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,802 : 588,174 = 588,174 : x
  2. Step 2: Convert to fraction form
    403,802/588,174 = 588,174/x
  3. Step 3: Cross multiply
    403,802x = 588,174 × 588,174
  4. Step 4: Simplify right side
    403,802x = 345,948,654,276
  5. Step 5: Solve for x
    x = 345,948,654,276/403,802
  6. Step 6: Final answer
    x = 856,728.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.