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Finding the Third Proportional to 549,033.75 and 1,006,942.50

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Solution

The third proportional to 549,033.75 and 1,006,942.50 is: 1,846,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,033.75 : 1,006,942.50 = 1,006,942.50 : x
  2. Step 2: Convert to fraction form
    549,033.75/1,006,942.50 = 1,006,942.50/x
  3. Step 3: Cross multiply
    549,033.75x = 1,006,942.50 × 1,006,942.50
  4. Step 4: Simplify right side
    549,033.75x = 1,013,933,198,306.25
  5. Step 5: Solve for x
    x = 1,013,933,198,306.25/549,033.75
  6. Step 6: Final answer
    x = 1,846,759.33

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.