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Finding the Third Proportional to 585,136 and 873,876

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Solution

The third proportional to 585,136 and 873,876 is: 1,305,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,136 : 873,876 = 873,876 : x
  2. Step 2: Convert to fraction form
    585,136/873,876 = 873,876/x
  3. Step 3: Cross multiply
    585,136x = 873,876 × 873,876
  4. Step 4: Simplify right side
    585,136x = 763,659,263,376
  5. Step 5: Solve for x
    x = 763,659,263,376/585,136
  6. Step 6: Final answer
    x = 1,305,097.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.