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Finding the Third Proportional to 340,200 and 745,524

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Solution

The third proportional to 340,200 and 745,524 is: 1,633,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,200 : 745,524 = 745,524 : x
  2. Step 2: Convert to fraction form
    340,200/745,524 = 745,524/x
  3. Step 3: Cross multiply
    340,200x = 745,524 × 745,524
  4. Step 4: Simplify right side
    340,200x = 555,806,034,576
  5. Step 5: Solve for x
    x = 555,806,034,576/340,200
  6. Step 6: Final answer
    x = 1,633,762.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.