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Finding the Third Proportional to 332,546 and 497,507

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Solution

The third proportional to 332,546 and 497,507 is: 744,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,546 : 497,507 = 497,507 : x
  2. Step 2: Convert to fraction form
    332,546/497,507 = 497,507/x
  3. Step 3: Cross multiply
    332,546x = 497,507 × 497,507
  4. Step 4: Simplify right side
    332,546x = 247,513,215,049
  5. Step 5: Solve for x
    x = 247,513,215,049/332,546
  6. Step 6: Final answer
    x = 744,297.68

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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.