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Finding the Third Proportional to 388,250 and 585,111

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Solution

The third proportional to 388,250 and 585,111 is: 881,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,250 : 585,111 = 585,111 : x
  2. Step 2: Convert to fraction form
    388,250/585,111 = 585,111/x
  3. Step 3: Cross multiply
    388,250x = 585,111 × 585,111
  4. Step 4: Simplify right side
    388,250x = 342,354,882,321
  5. Step 5: Solve for x
    x = 342,354,882,321/388,250
  6. Step 6: Final answer
    x = 881,789.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.