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Finding the Third Proportional to 340,669.13 and 739,292.06

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Solution

The third proportional to 340,669.13 and 739,292.06 is: 1,604,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,669.13 : 739,292.06 = 739,292.06 : x
  2. Step 2: Convert to fraction form
    340,669.13/739,292.06 = 739,292.06/x
  3. Step 3: Cross multiply
    340,669.13x = 739,292.06 × 739,292.06
  4. Step 4: Simplify right side
    340,669.13x = 546,552,753,675.50
  5. Step 5: Solve for x
    x = 546,552,753,675.50/340,669.13
  6. Step 6: Final answer
    x = 1,604,350.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.