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Finding the Third Proportional to 325,541 and 497,694

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Solution

The third proportional to 325,541 and 497,694 is: 760,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,541 : 497,694 = 497,694 : x
  2. Step 2: Convert to fraction form
    325,541/497,694 = 497,694/x
  3. Step 3: Cross multiply
    325,541x = 497,694 × 497,694
  4. Step 4: Simplify right side
    325,541x = 247,699,317,636
  5. Step 5: Solve for x
    x = 247,699,317,636/325,541
  6. Step 6: Final answer
    x = 760,885.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.