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Finding the Third Proportional to 339,598 and 497,364

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Solution

The third proportional to 339,598 and 497,364 is: 728,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,598 : 497,364 = 497,364 : x
  2. Step 2: Convert to fraction form
    339,598/497,364 = 497,364/x
  3. Step 3: Cross multiply
    339,598x = 497,364 × 497,364
  4. Step 4: Simplify right side
    339,598x = 247,370,948,496
  5. Step 5: Solve for x
    x = 247,370,948,496/339,598
  6. Step 6: Final answer
    x = 728,422.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.