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Finding the Third Proportional to 403,668.56 and 548,458.59

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Solution

The third proportional to 403,668.56 and 548,458.59 is: 745,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,668.56 : 548,458.59 = 548,458.59 : x
  2. Step 2: Convert to fraction form
    403,668.56/548,458.59 = 548,458.59/x
  3. Step 3: Cross multiply
    403,668.56x = 548,458.59 × 548,458.59
  4. Step 4: Simplify right side
    403,668.56x = 300,806,829,058.23
  5. Step 5: Solve for x
    x = 300,806,829,058.23/403,668.56
  6. Step 6: Final answer
    x = 745,182.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.