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Finding the Third Proportional to 587,722 and 872,943

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Solution

The third proportional to 587,722 and 872,943 is: 1,296,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,722 : 872,943 = 872,943 : x
  2. Step 2: Convert to fraction form
    587,722/872,943 = 872,943/x
  3. Step 3: Cross multiply
    587,722x = 872,943 × 872,943
  4. Step 4: Simplify right side
    587,722x = 762,029,481,249
  5. Step 5: Solve for x
    x = 762,029,481,249/587,722
  6. Step 6: Final answer
    x = 1,296,581.52

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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.