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Finding the Third Proportional to 292,874.75 and 639,452.50

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Solution

The third proportional to 292,874.75 and 639,452.50 is: 1,396,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,874.75 : 639,452.50 = 639,452.50 : x
  2. Step 2: Convert to fraction form
    292,874.75/639,452.50 = 639,452.50/x
  3. Step 3: Cross multiply
    292,874.75x = 639,452.50 × 639,452.50
  4. Step 4: Simplify right side
    292,874.75x = 408,899,499,756.25
  5. Step 5: Solve for x
    x = 408,899,499,756.25/292,874.75
  6. Step 6: Final answer
    x = 1,396,158.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.