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Finding the Third Proportional to 403,542 and 650,214

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Solution

The third proportional to 403,542 and 650,214 is: 1,047,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542 : 650,214 = 650,214 : x
  2. Step 2: Convert to fraction form
    403,542/650,214 = 650,214/x
  3. Step 3: Cross multiply
    403,542x = 650,214 × 650,214
  4. Step 4: Simplify right side
    403,542x = 422,778,245,796
  5. Step 5: Solve for x
    x = 422,778,245,796/403,542
  6. Step 6: Final answer
    x = 1,047,668.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.