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Finding the Third Proportional to 673,494.75 and 1,010,206.69

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Solution

The third proportional to 673,494.75 and 1,010,206.69 is: 1,515,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,494.75 : 1,010,206.69 = 1,010,206.69 : x
  2. Step 2: Convert to fraction form
    673,494.75/1,010,206.69 = 1,010,206.69/x
  3. Step 3: Cross multiply
    673,494.75x = 1,010,206.69 × 1,010,206.69
  4. Step 4: Simplify right side
    673,494.75x = 1,020,517,551,469.72
  5. Step 5: Solve for x
    x = 1,020,517,551,469.72/673,494.75
  6. Step 6: Final answer
    x = 1,515,256.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.