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Finding the Third Proportional to 326,466 and 499,080

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Solution

The third proportional to 326,466 and 499,080 is: 762,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,466 : 499,080 = 499,080 : x
  2. Step 2: Convert to fraction form
    326,466/499,080 = 499,080/x
  3. Step 3: Cross multiply
    326,466x = 499,080 × 499,080
  4. Step 4: Simplify right side
    326,466x = 249,080,846,400
  5. Step 5: Solve for x
    x = 249,080,846,400/326,466
  6. Step 6: Final answer
    x = 762,961.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.