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Finding the Third Proportional to 386,370 and 591,027

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Solution

The third proportional to 386,370 and 591,027 is: 904,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,370 : 591,027 = 591,027 : x
  2. Step 2: Convert to fraction form
    386,370/591,027 = 591,027/x
  3. Step 3: Cross multiply
    386,370x = 591,027 × 591,027
  4. Step 4: Simplify right side
    386,370x = 349,312,914,729
  5. Step 5: Solve for x
    x = 349,312,914,729/386,370
  6. Step 6: Final answer
    x = 904,089.12

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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.