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Finding the Third Proportional to 499,721 and 767,633

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Solution

The third proportional to 499,721 and 767,633 is: 1,179,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,721 : 767,633 = 767,633 : x
  2. Step 2: Convert to fraction form
    499,721/767,633 = 767,633/x
  3. Step 3: Cross multiply
    499,721x = 767,633 × 767,633
  4. Step 4: Simplify right side
    499,721x = 589,260,422,689
  5. Step 5: Solve for x
    x = 589,260,422,689/499,721
  6. Step 6: Final answer
    x = 1,179,178.83

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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.