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Finding the Third Proportional to 485,452.50 and 1,032,141

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Solution

The third proportional to 485,452.50 and 1,032,141 is: 2,194,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,452.50 : 1,032,141 = 1,032,141 : x
  2. Step 2: Convert to fraction form
    485,452.50/1,032,141 = 1,032,141/x
  3. Step 3: Cross multiply
    485,452.50x = 1,032,141 × 1,032,141
  4. Step 4: Simplify right side
    485,452.50x = 1,065,315,043,881
  5. Step 5: Solve for x
    x = 1,065,315,043,881/485,452.50
  6. Step 6: Final answer
    x = 2,194,478.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.