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Finding the Third Proportional to 348,013.13 and 737,214.75

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Solution

The third proportional to 348,013.13 and 737,214.75 is: 1,561,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,013.13 : 737,214.75 = 737,214.75 : x
  2. Step 2: Convert to fraction form
    348,013.13/737,214.75 = 737,214.75/x
  3. Step 3: Cross multiply
    348,013.13x = 737,214.75 × 737,214.75
  4. Step 4: Simplify right side
    348,013.13x = 543,485,587,617.56
  5. Step 5: Solve for x
    x = 543,485,587,617.56/348,013.13
  6. Step 6: Final answer
    x = 1,561,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.