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Finding the Third Proportional to 386,348 and 591,005

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Solution

The third proportional to 386,348 and 591,005 is: 904,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,348 : 591,005 = 591,005 : x
  2. Step 2: Convert to fraction form
    386,348/591,005 = 591,005/x
  3. Step 3: Cross multiply
    386,348x = 591,005 × 591,005
  4. Step 4: Simplify right side
    386,348x = 349,286,910,025
  5. Step 5: Solve for x
    x = 349,286,910,025/386,348
  6. Step 6: Final answer
    x = 904,073.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.