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Finding the Third Proportional to 386,812 and 591,336

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Solution

The third proportional to 386,812 and 591,336 is: 904,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,812 : 591,336 = 591,336 : x
  2. Step 2: Convert to fraction form
    386,812/591,336 = 591,336/x
  3. Step 3: Cross multiply
    386,812x = 591,336 × 591,336
  4. Step 4: Simplify right side
    386,812x = 349,678,264,896
  5. Step 5: Solve for x
    x = 349,678,264,896/386,812
  6. Step 6: Final answer
    x = 904,000.56

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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.