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Finding the Third Proportional to 295,899 and 418,691.25

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Solution

The third proportional to 295,899 and 418,691.25 is: 592,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899 : 418,691.25 = 418,691.25 : x
  2. Step 2: Convert to fraction form
    295,899/418,691.25 = 418,691.25/x
  3. Step 3: Cross multiply
    295,899x = 418,691.25 × 418,691.25
  4. Step 4: Simplify right side
    295,899x = 175,302,362,826.56
  5. Step 5: Solve for x
    x = 175,302,362,826.56/295,899
  6. Step 6: Final answer
    x = 592,439.86

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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.