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Finding the Third Proportional to 650,049.75 and 1,010,480.63

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Solution

The third proportional to 650,049.75 and 1,010,480.63 is: 1,570,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,049.75 : 1,010,480.63 = 1,010,480.63 : x
  2. Step 2: Convert to fraction form
    650,049.75/1,010,480.63 = 1,010,480.63/x
  3. Step 3: Cross multiply
    650,049.75x = 1,010,480.63 × 1,010,480.63
  4. Step 4: Simplify right side
    650,049.75x = 1,021,071,093,500.39
  5. Step 5: Solve for x
    x = 1,021,071,093,500.39/650,049.75
  6. Step 6: Final answer
    x = 1,570,758.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.