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Finding the Third Proportional to 288,159 and 632,367

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Solution

The third proportional to 288,159 and 632,367 is: 1,387,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,159 : 632,367 = 632,367 : x
  2. Step 2: Convert to fraction form
    288,159/632,367 = 632,367/x
  3. Step 3: Cross multiply
    288,159x = 632,367 × 632,367
  4. Step 4: Simplify right side
    288,159x = 399,888,022,689
  5. Step 5: Solve for x
    x = 399,888,022,689/288,159
  6. Step 6: Final answer
    x = 1,387,733.93

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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.