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Finding the Third Proportional to 344,141.44 and 738,118.13

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Solution

The third proportional to 344,141.44 and 738,118.13 is: 1,583,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,141.44 : 738,118.13 = 738,118.13 : x
  2. Step 2: Convert to fraction form
    344,141.44/738,118.13 = 738,118.13/x
  3. Step 3: Cross multiply
    344,141.44x = 738,118.13 × 738,118.13
  4. Step 4: Simplify right side
    344,141.44x = 544,818,366,453.52
  5. Step 5: Solve for x
    x = 544,818,366,453.52/344,141.44
  6. Step 6: Final answer
    x = 1,583,123.41

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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.