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Finding the Third Proportional to 340,596 and 747,615.75

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Solution

The third proportional to 340,596 and 747,615.75 is: 1,641,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,596 : 747,615.75 = 747,615.75 : x
  2. Step 2: Convert to fraction form
    340,596/747,615.75 = 747,615.75/x
  3. Step 3: Cross multiply
    340,596x = 747,615.75 × 747,615.75
  4. Step 4: Simplify right side
    340,596x = 558,929,309,648.06
  5. Step 5: Solve for x
    x = 558,929,309,648.06/340,596
  6. Step 6: Final answer
    x = 1,641,033.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.