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Finding the Third Proportional to 340,660.69 and 739,275.19

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Solution

The third proportional to 340,660.69 and 739,275.19 is: 1,604,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,660.69 : 739,275.19 = 739,275.19 : x
  2. Step 2: Convert to fraction form
    340,660.69/739,275.19 = 739,275.19/x
  3. Step 3: Cross multiply
    340,660.69x = 739,275.19 × 739,275.19
  4. Step 4: Simplify right side
    340,660.69x = 546,527,802,853.16
  5. Step 5: Solve for x
    x = 546,527,802,853.16/340,660.69
  6. Step 6: Final answer
    x = 1,604,317.21

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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.