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Finding the Third Proportional to 499,759.88 and 712,257.75

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Solution

The third proportional to 499,759.88 and 712,257.75 is: 1,015,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,759.88 : 712,257.75 = 712,257.75 : x
  2. Step 2: Convert to fraction form
    499,759.88/712,257.75 = 712,257.75/x
  3. Step 3: Cross multiply
    499,759.88x = 712,257.75 × 712,257.75
  4. Step 4: Simplify right side
    499,759.88x = 507,311,102,435.06
  5. Step 5: Solve for x
    x = 507,311,102,435.06/499,759.88
  6. Step 6: Final answer
    x = 1,015,109.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.