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Finding the Third Proportional to 364,055 and 569,849

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Solution

The third proportional to 364,055 and 569,849 is: 891,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,055 : 569,849 = 569,849 : x
  2. Step 2: Convert to fraction form
    364,055/569,849 = 569,849/x
  3. Step 3: Cross multiply
    364,055x = 569,849 × 569,849
  4. Step 4: Simplify right side
    364,055x = 324,727,882,801
  5. Step 5: Solve for x
    x = 324,727,882,801/364,055
  6. Step 6: Final answer
    x = 891,974.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.