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Finding the Third Proportional to 388,866 and 599,862

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Solution

The third proportional to 388,866 and 599,862 is: 925,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,866 : 599,862 = 599,862 : x
  2. Step 2: Convert to fraction form
    388,866/599,862 = 599,862/x
  3. Step 3: Cross multiply
    388,866x = 599,862 × 599,862
  4. Step 4: Simplify right side
    388,866x = 359,834,419,044
  5. Step 5: Solve for x
    x = 359,834,419,044/388,866
  6. Step 6: Final answer
    x = 925,342.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.