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Finding the Third Proportional to 499,074.75 and 767,890.13

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Solution

The third proportional to 499,074.75 and 767,890.13 is: 1,181,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,074.75 : 767,890.13 = 767,890.13 : x
  2. Step 2: Convert to fraction form
    499,074.75/767,890.13 = 767,890.13/x
  3. Step 3: Cross multiply
    499,074.75x = 767,890.13 × 767,890.13
  4. Step 4: Simplify right side
    499,074.75x = 589,655,244,072.52
  5. Step 5: Solve for x
    x = 589,655,244,072.52/499,074.75
  6. Step 6: Final answer
    x = 1,181,496.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.