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Finding the Third Proportional to 499,767 and 712,266

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Solution

The third proportional to 499,767 and 712,266 is: 1,015,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,767 : 712,266 = 712,266 : x
  2. Step 2: Convert to fraction form
    499,767/712,266 = 712,266/x
  3. Step 3: Cross multiply
    499,767x = 712,266 × 712,266
  4. Step 4: Simplify right side
    499,767x = 507,322,854,756
  5. Step 5: Solve for x
    x = 507,322,854,756/499,767
  6. Step 6: Final answer
    x = 1,015,118.75

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