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Finding the Third Proportional to 386,347 and 591,000

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Solution

The third proportional to 386,347 and 591,000 is: 904,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,347 : 591,000 = 591,000 : x
  2. Step 2: Convert to fraction form
    386,347/591,000 = 591,000/x
  3. Step 3: Cross multiply
    386,347x = 591,000 × 591,000
  4. Step 4: Simplify right side
    386,347x = 349,281,000,000
  5. Step 5: Solve for x
    x = 349,281,000,000/386,347
  6. Step 6: Final answer
    x = 904,060.34

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