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Finding the Third Proportional to 499,752 and 768,744

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Solution

The third proportional to 499,752 and 768,744 is: 1,182,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,752 : 768,744 = 768,744 : x
  2. Step 2: Convert to fraction form
    499,752/768,744 = 768,744/x
  3. Step 3: Cross multiply
    499,752x = 768,744 × 768,744
  4. Step 4: Simplify right side
    499,752x = 590,967,337,536
  5. Step 5: Solve for x
    x = 590,967,337,536/499,752
  6. Step 6: Final answer
    x = 1,182,521.21

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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.