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Finding the Third Proportional to 386,148 and 597,906

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Solution

The third proportional to 386,148 and 597,906 is: 925,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,148 : 597,906 = 597,906 : x
  2. Step 2: Convert to fraction form
    386,148/597,906 = 597,906/x
  3. Step 3: Cross multiply
    386,148x = 597,906 × 597,906
  4. Step 4: Simplify right side
    386,148x = 357,491,584,836
  5. Step 5: Solve for x
    x = 357,491,584,836/386,148
  6. Step 6: Final answer
    x = 925,789.04

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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.