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Finding the Third Proportional to 200,244.38 and 437,414.63

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Solution

The third proportional to 200,244.38 and 437,414.63 is: 955,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,244.38 : 437,414.63 = 437,414.63 : x
  2. Step 2: Convert to fraction form
    200,244.38/437,414.63 = 437,414.63/x
  3. Step 3: Cross multiply
    200,244.38x = 437,414.63 × 437,414.63
  4. Step 4: Simplify right side
    200,244.38x = 191,331,554,163.89
  5. Step 5: Solve for x
    x = 191,331,554,163.89/200,244.38
  6. Step 6: Final answer
    x = 955,490.28

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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.