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Finding the Third Proportional to 322,737.75 and 497,714.63

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Solution

The third proportional to 322,737.75 and 497,714.63 is: 767,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,737.75 : 497,714.63 = 497,714.63 : x
  2. Step 2: Convert to fraction form
    322,737.75/497,714.63 = 497,714.63/x
  3. Step 3: Cross multiply
    322,737.75x = 497,714.63 × 497,714.63
  4. Step 4: Simplify right side
    322,737.75x = 247,719,847,938.89
  5. Step 5: Solve for x
    x = 247,719,847,938.89/322,737.75
  6. Step 6: Final answer
    x = 767,557.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.