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Finding the Third Proportional to 386,940 and 597,900

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Solution

The third proportional to 386,940 and 597,900 is: 923,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,940 : 597,900 = 597,900 : x
  2. Step 2: Convert to fraction form
    386,940/597,900 = 597,900/x
  3. Step 3: Cross multiply
    386,940x = 597,900 × 597,900
  4. Step 4: Simplify right side
    386,940x = 357,484,410,000
  5. Step 5: Solve for x
    x = 357,484,410,000/386,940
  6. Step 6: Final answer
    x = 923,875.56

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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.