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Finding the Third Proportional to 382,878 and 816,060

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Solution

The third proportional to 382,878 and 816,060 is: 1,739,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,878 : 816,060 = 816,060 : x
  2. Step 2: Convert to fraction form
    382,878/816,060 = 816,060/x
  3. Step 3: Cross multiply
    382,878x = 816,060 × 816,060
  4. Step 4: Simplify right side
    382,878x = 665,953,923,600
  5. Step 5: Solve for x
    x = 665,953,923,600/382,878
  6. Step 6: Final answer
    x = 1,739,337.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.