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Finding the Third Proportional to 322,242 and 497,943

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Solution

The third proportional to 322,242 and 497,943 is: 769,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,242 : 497,943 = 497,943 : x
  2. Step 2: Convert to fraction form
    322,242/497,943 = 497,943/x
  3. Step 3: Cross multiply
    322,242x = 497,943 × 497,943
  4. Step 4: Simplify right side
    322,242x = 247,947,231,249
  5. Step 5: Solve for x
    x = 247,947,231,249/322,242
  6. Step 6: Final answer
    x = 769,444.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.