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Finding the Third Proportional to 587,738 and 872,966

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Solution

The third proportional to 587,738 and 872,966 is: 1,296,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,738 : 872,966 = 872,966 : x
  2. Step 2: Convert to fraction form
    587,738/872,966 = 872,966/x
  3. Step 3: Cross multiply
    587,738x = 872,966 × 872,966
  4. Step 4: Simplify right side
    587,738x = 762,069,637,156
  5. Step 5: Solve for x
    x = 762,069,637,156/587,738
  6. Step 6: Final answer
    x = 1,296,614.54

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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.