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Finding the Third Proportional to 349,668 and 522,344.25

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Solution

The third proportional to 349,668 and 522,344.25 is: 780,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,668 : 522,344.25 = 522,344.25 : x
  2. Step 2: Convert to fraction form
    349,668/522,344.25 = 522,344.25/x
  3. Step 3: Cross multiply
    349,668x = 522,344.25 × 522,344.25
  4. Step 4: Simplify right side
    349,668x = 272,843,515,508.06
  5. Step 5: Solve for x
    x = 272,843,515,508.06/349,668
  6. Step 6: Final answer
    x = 780,293.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.