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Finding the Third Proportional to 302,740.03 and 468,761.24

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Solution

The third proportional to 302,740.03 and 468,761.24 is: 725,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,740.03 : 468,761.24 = 468,761.24 : x
  2. Step 2: Convert to fraction form
    302,740.03/468,761.24 = 468,761.24/x
  3. Step 3: Cross multiply
    302,740.03x = 468,761.24 × 468,761.24
  4. Step 4: Simplify right side
    302,740.03x = 219,737,098,514.97
  5. Step 5: Solve for x
    x = 219,737,098,514.97/302,740.03
  6. Step 6: Final answer
    x = 725,827.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.