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Finding the Third Proportional to 413,306.30 and 626,187.38

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Solution

The third proportional to 413,306.30 and 626,187.38 is: 948,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,306.30 : 626,187.38 = 626,187.38 : x
  2. Step 2: Convert to fraction form
    413,306.30/626,187.38 = 626,187.38/x
  3. Step 3: Cross multiply
    413,306.30x = 626,187.38 × 626,187.38
  4. Step 4: Simplify right side
    413,306.30x = 392,110,628,609.39
  5. Step 5: Solve for x
    x = 392,110,628,609.39/413,306.30
  6. Step 6: Final answer
    x = 948,716.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.