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Finding the Third Proportional to 499,736.25 and 712,226.25

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Solution

The third proportional to 499,736.25 and 712,226.25 is: 1,015,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,736.25 : 712,226.25 = 712,226.25 : x
  2. Step 2: Convert to fraction form
    499,736.25/712,226.25 = 712,226.25/x
  3. Step 3: Cross multiply
    499,736.25x = 712,226.25 × 712,226.25
  4. Step 4: Simplify right side
    499,736.25x = 507,266,231,189.06
  5. Step 5: Solve for x
    x = 507,266,231,189.06/499,736.25
  6. Step 6: Final answer
    x = 1,015,067.91

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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.