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Finding the Third Proportional to 301,414.50 and 644,284.13

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Solution

The third proportional to 301,414.50 and 644,284.13 is: 1,377,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,414.50 : 644,284.13 = 644,284.13 : x
  2. Step 2: Convert to fraction form
    301,414.50/644,284.13 = 644,284.13/x
  3. Step 3: Cross multiply
    301,414.50x = 644,284.13 × 644,284.13
  4. Step 4: Simplify right side
    301,414.50x = 415,102,033,727.02
  5. Step 5: Solve for x
    x = 415,102,033,727.02/301,414.50
  6. Step 6: Final answer
    x = 1,377,180.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.