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Finding the Third Proportional to 585,169.50 and 873,926.25

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Solution

The third proportional to 585,169.50 and 873,926.25 is: 1,305,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,169.50 : 873,926.25 = 873,926.25 : x
  2. Step 2: Convert to fraction form
    585,169.50/873,926.25 = 873,926.25/x
  3. Step 3: Cross multiply
    585,169.50x = 873,926.25 × 873,926.25
  4. Step 4: Simplify right side
    585,169.50x = 763,747,090,439.06
  5. Step 5: Solve for x
    x = 763,747,090,439.06/585,169.50
  6. Step 6: Final answer
    x = 1,305,172.42

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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.