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Finding the Third Proportional to 496,482.75 and 1,062,949.50

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Solution

The third proportional to 496,482.75 and 1,062,949.50 is: 2,275,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,482.75 : 1,062,949.50 = 1,062,949.50 : x
  2. Step 2: Convert to fraction form
    496,482.75/1,062,949.50 = 1,062,949.50/x
  3. Step 3: Cross multiply
    496,482.75x = 1,062,949.50 × 1,062,949.50
  4. Step 4: Simplify right side
    496,482.75x = 1,129,861,639,550.25
  5. Step 5: Solve for x
    x = 1,129,861,639,550.25/496,482.75
  6. Step 6: Final answer
    x = 2,275,731.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.