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Finding the Third Proportional to 377,924 and 822,275

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Solution

The third proportional to 377,924 and 822,275 is: 1,789,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,924 : 822,275 = 822,275 : x
  2. Step 2: Convert to fraction form
    377,924/822,275 = 822,275/x
  3. Step 3: Cross multiply
    377,924x = 822,275 × 822,275
  4. Step 4: Simplify right side
    377,924x = 676,136,175,625
  5. Step 5: Solve for x
    x = 676,136,175,625/377,924
  6. Step 6: Final answer
    x = 1,789,079.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.