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Finding the Third Proportional to 431,597 and 653,393

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Solution

The third proportional to 431,597 and 653,393 is: 989,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,597 : 653,393 = 653,393 : x
  2. Step 2: Convert to fraction form
    431,597/653,393 = 653,393/x
  3. Step 3: Cross multiply
    431,597x = 653,393 × 653,393
  4. Step 4: Simplify right side
    431,597x = 426,922,412,449
  5. Step 5: Solve for x
    x = 426,922,412,449/431,597
  6. Step 6: Final answer
    x = 989,169.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.