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Finding the Third Proportional to 464,433.75 and 1,023,149.81

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Solution

The third proportional to 464,433.75 and 1,023,149.81 is: 2,254,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,433.75 : 1,023,149.81 = 1,023,149.81 : x
  2. Step 2: Convert to fraction form
    464,433.75/1,023,149.81 = 1,023,149.81/x
  3. Step 3: Cross multiply
    464,433.75x = 1,023,149.81 × 1,023,149.81
  4. Step 4: Simplify right side
    464,433.75x = 1,046,835,538,818.79
  5. Step 5: Solve for x
    x = 1,046,835,538,818.79/464,433.75
  6. Step 6: Final answer
    x = 2,254,004.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.