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Finding the Third Proportional to 296,788.50 and 415,158.75

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Solution

The third proportional to 296,788.50 and 415,158.75 is: 580,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,788.50 : 415,158.75 = 415,158.75 : x
  2. Step 2: Convert to fraction form
    296,788.50/415,158.75 = 415,158.75/x
  3. Step 3: Cross multiply
    296,788.50x = 415,158.75 × 415,158.75
  4. Step 4: Simplify right side
    296,788.50x = 172,356,787,701.56
  5. Step 5: Solve for x
    x = 172,356,787,701.56/296,788.50
  6. Step 6: Final answer
    x = 580,739.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.