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Finding the Third Proportional to 461,236.50 and 1,013,280.75

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Solution

The third proportional to 461,236.50 and 1,013,280.75 is: 2,226,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,236.50 : 1,013,280.75 = 1,013,280.75 : x
  2. Step 2: Convert to fraction form
    461,236.50/1,013,280.75 = 1,013,280.75/x
  3. Step 3: Cross multiply
    461,236.50x = 1,013,280.75 × 1,013,280.75
  4. Step 4: Simplify right side
    461,236.50x = 1,026,737,878,320.56
  5. Step 5: Solve for x
    x = 1,026,737,878,320.56/461,236.50
  6. Step 6: Final answer
    x = 2,226,055.13

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Why These Related Problems?

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