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Finding the Third Proportional to 324,397.41 and 499,301.72

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Solution

The third proportional to 324,397.41 and 499,301.72 is: 768,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,397.41 : 499,301.72 = 499,301.72 : x
  2. Step 2: Convert to fraction form
    324,397.41/499,301.72 = 499,301.72/x
  3. Step 3: Cross multiply
    324,397.41x = 499,301.72 × 499,301.72
  4. Step 4: Simplify right side
    324,397.41x = 249,302,206,346.70
  5. Step 5: Solve for x
    x = 249,302,206,346.70/324,397.41
  6. Step 6: Final answer
    x = 768,508.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.