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Finding the Third Proportional to 399,384 and 876,223.13

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Solution

The third proportional to 399,384 and 876,223.13 is: 1,922,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,384 : 876,223.13 = 876,223.13 : x
  2. Step 2: Convert to fraction form
    399,384/876,223.13 = 876,223.13/x
  3. Step 3: Cross multiply
    399,384x = 876,223.13 × 876,223.13
  4. Step 4: Simplify right side
    399,384x = 767,766,964,784.77
  5. Step 5: Solve for x
    x = 767,766,964,784.77/399,384
  6. Step 6: Final answer
    x = 1,922,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.