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Finding the Third Proportional to 466,567.50 and 1,023,531

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Solution

The third proportional to 466,567.50 and 1,023,531 is: 2,245,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,567.50 : 1,023,531 = 1,023,531 : x
  2. Step 2: Convert to fraction form
    466,567.50/1,023,531 = 1,023,531/x
  3. Step 3: Cross multiply
    466,567.50x = 1,023,531 × 1,023,531
  4. Step 4: Simplify right side
    466,567.50x = 1,047,615,707,961
  5. Step 5: Solve for x
    x = 1,047,615,707,961/466,567.50
  6. Step 6: Final answer
    x = 2,245,367.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.