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Finding the Third Proportional to 374,150 and 570,566

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Solution

The third proportional to 374,150 and 570,566 is: 870,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,150 : 570,566 = 570,566 : x
  2. Step 2: Convert to fraction form
    374,150/570,566 = 570,566/x
  3. Step 3: Cross multiply
    374,150x = 570,566 × 570,566
  4. Step 4: Simplify right side
    374,150x = 325,545,560,356
  5. Step 5: Solve for x
    x = 325,545,560,356/374,150
  6. Step 6: Final answer
    x = 870,093.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.