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Finding the Third Proportional to 386,937 and 597,657

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Solution

The third proportional to 386,937 and 597,657 is: 923,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,937 : 597,657 = 597,657 : x
  2. Step 2: Convert to fraction form
    386,937/597,657 = 597,657/x
  3. Step 3: Cross multiply
    386,937x = 597,657 × 597,657
  4. Step 4: Simplify right side
    386,937x = 357,193,889,649
  5. Step 5: Solve for x
    x = 357,193,889,649/386,937
  6. Step 6: Final answer
    x = 923,131.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.