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Finding the Third Proportional to 588,375.38 and 909,189.75

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Solution

The third proportional to 588,375.38 and 909,189.75 is: 1,404,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,375.38 : 909,189.75 = 909,189.75 : x
  2. Step 2: Convert to fraction form
    588,375.38/909,189.75 = 909,189.75/x
  3. Step 3: Cross multiply
    588,375.38x = 909,189.75 × 909,189.75
  4. Step 4: Simplify right side
    588,375.38x = 826,626,001,505.06
  5. Step 5: Solve for x
    x = 826,626,001,505.06/588,375.38
  6. Step 6: Final answer
    x = 1,404,929.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.