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Finding the Third Proportional to 326,943 and 499,917

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Solution

The third proportional to 326,943 and 499,917 is: 764,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,943 : 499,917 = 499,917 : x
  2. Step 2: Convert to fraction form
    326,943/499,917 = 499,917/x
  3. Step 3: Cross multiply
    326,943x = 499,917 × 499,917
  4. Step 4: Simplify right side
    326,943x = 249,917,006,889
  5. Step 5: Solve for x
    x = 249,917,006,889/326,943
  6. Step 6: Final answer
    x = 764,405.44

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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.