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Finding the Third Proportional to 386,395 and 591,066

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Solution

The third proportional to 386,395 and 591,066 is: 904,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,395 : 591,066 = 591,066 : x
  2. Step 2: Convert to fraction form
    386,395/591,066 = 591,066/x
  3. Step 3: Cross multiply
    386,395x = 591,066 × 591,066
  4. Step 4: Simplify right side
    386,395x = 349,359,016,356
  5. Step 5: Solve for x
    x = 349,359,016,356/386,395
  6. Step 6: Final answer
    x = 904,149.94

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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.