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Finding the Third Proportional to 288,152.20 and 632,354.82

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Solution

The third proportional to 288,152.20 and 632,354.82 is: 1,387,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,152.20 : 632,354.82 = 632,354.82 : x
  2. Step 2: Convert to fraction form
    288,152.20/632,354.82 = 632,354.82/x
  3. Step 3: Cross multiply
    288,152.20x = 632,354.82 × 632,354.82
  4. Step 4: Simplify right side
    288,152.20x = 399,872,616,302.35
  5. Step 5: Solve for x
    x = 399,872,616,302.35/288,152.20
  6. Step 6: Final answer
    x = 1,387,713.22

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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.