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Finding the Third Proportional to 288,385.50 and 632,931

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Solution

The third proportional to 288,385.50 and 632,931 is: 1,389,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,385.50 : 632,931 = 632,931 : x
  2. Step 2: Convert to fraction form
    288,385.50/632,931 = 632,931/x
  3. Step 3: Cross multiply
    288,385.50x = 632,931 × 632,931
  4. Step 4: Simplify right side
    288,385.50x = 400,601,650,761
  5. Step 5: Solve for x
    x = 400,601,650,761/288,385.50
  6. Step 6: Final answer
    x = 1,389,118.56

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Why These Related Problems?

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