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Finding the Third Proportional to 288,319.50 and 632,179.69

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Solution

The third proportional to 288,319.50 and 632,179.69 is: 1,386,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,319.50 : 632,179.69 = 632,179.69 : x
  2. Step 2: Convert to fraction form
    288,319.50/632,179.69 = 632,179.69/x
  3. Step 3: Cross multiply
    288,319.50x = 632,179.69 × 632,179.69
  4. Step 4: Simplify right side
    288,319.50x = 399,651,157,287.60
  5. Step 5: Solve for x
    x = 399,651,157,287.60/288,319.50
  6. Step 6: Final answer
    x = 1,386,139.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.