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Finding the Third Proportional to 332,424 and 497,304

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Solution

The third proportional to 332,424 and 497,304 is: 743,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,424 : 497,304 = 497,304 : x
  2. Step 2: Convert to fraction form
    332,424/497,304 = 497,304/x
  3. Step 3: Cross multiply
    332,424x = 497,304 × 497,304
  4. Step 4: Simplify right side
    332,424x = 247,311,268,416
  5. Step 5: Solve for x
    x = 247,311,268,416/332,424
  6. Step 6: Final answer
    x = 743,963.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.