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Finding the Third Proportional to 386,964 and 597,958

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Solution

The third proportional to 386,964 and 597,958 is: 923,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,964 : 597,958 = 597,958 : x
  2. Step 2: Convert to fraction form
    386,964/597,958 = 597,958/x
  3. Step 3: Cross multiply
    386,964x = 597,958 × 597,958
  4. Step 4: Simplify right side
    386,964x = 357,553,769,764
  5. Step 5: Solve for x
    x = 357,553,769,764/386,964
  6. Step 6: Final answer
    x = 923,997.50

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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.