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Finding the Third Proportional to 386,956 and 597,924

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Solution

The third proportional to 386,956 and 597,924 is: 923,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,956 : 597,924 = 597,924 : x
  2. Step 2: Convert to fraction form
    386,956/597,924 = 597,924/x
  3. Step 3: Cross multiply
    386,956x = 597,924 × 597,924
  4. Step 4: Simplify right side
    386,956x = 357,513,109,776
  5. Step 5: Solve for x
    x = 357,513,109,776/386,956
  6. Step 6: Final answer
    x = 923,911.53

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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.