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Finding the Third Proportional to 368,350 and 802,289

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Solution

The third proportional to 368,350 and 802,289 is: 1,747,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,350 : 802,289 = 802,289 : x
  2. Step 2: Convert to fraction form
    368,350/802,289 = 802,289/x
  3. Step 3: Cross multiply
    368,350x = 802,289 × 802,289
  4. Step 4: Simplify right side
    368,350x = 643,667,639,521
  5. Step 5: Solve for x
    x = 643,667,639,521/368,350
  6. Step 6: Final answer
    x = 1,747,434.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.