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Finding the Third Proportional to 332,984 and 497,508

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Solution

The third proportional to 332,984 and 497,508 is: 743,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,984 : 497,508 = 497,508 : x
  2. Step 2: Convert to fraction form
    332,984/497,508 = 497,508/x
  3. Step 3: Cross multiply
    332,984x = 497,508 × 497,508
  4. Step 4: Simplify right side
    332,984x = 247,514,210,064
  5. Step 5: Solve for x
    x = 247,514,210,064/332,984
  6. Step 6: Final answer
    x = 743,321.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.