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Finding the Third Proportional to 386,647 and 591,527

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Solution

The third proportional to 386,647 and 591,527 is: 904,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,647 : 591,527 = 591,527 : x
  2. Step 2: Convert to fraction form
    386,647/591,527 = 591,527/x
  3. Step 3: Cross multiply
    386,647x = 591,527 × 591,527
  4. Step 4: Simplify right side
    386,647x = 349,904,191,729
  5. Step 5: Solve for x
    x = 349,904,191,729/386,647
  6. Step 6: Final answer
    x = 904,970.66

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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.