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Finding the Third Proportional to 397,252.69 and 588,152.81

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Solution

The third proportional to 397,252.69 and 588,152.81 is: 870,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,252.69 : 588,152.81 = 588,152.81 : x
  2. Step 2: Convert to fraction form
    397,252.69/588,152.81 = 588,152.81/x
  3. Step 3: Cross multiply
    397,252.69x = 588,152.81 × 588,152.81
  4. Step 4: Simplify right side
    397,252.69x = 345,923,730,851.66
  5. Step 5: Solve for x
    x = 345,923,730,851.66/397,252.69
  6. Step 6: Final answer
    x = 870,790.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.