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Finding the Third Proportional to 499,717 and 767,627

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Solution

The third proportional to 499,717 and 767,627 is: 1,179,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,717 : 767,627 = 767,627 : x
  2. Step 2: Convert to fraction form
    499,717/767,627 = 767,627/x
  3. Step 3: Cross multiply
    499,717x = 767,627 × 767,627
  4. Step 4: Simplify right side
    499,717x = 589,251,211,129
  5. Step 5: Solve for x
    x = 589,251,211,129/499,717
  6. Step 6: Final answer
    x = 1,179,169.83

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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.