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Finding the Third Proportional to 250,746 and 522,228

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Solution

The third proportional to 250,746 and 522,228 is: 1,087,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,746 : 522,228 = 522,228 : x
  2. Step 2: Convert to fraction form
    250,746/522,228 = 522,228/x
  3. Step 3: Cross multiply
    250,746x = 522,228 × 522,228
  4. Step 4: Simplify right side
    250,746x = 272,722,083,984
  5. Step 5: Solve for x
    x = 272,722,083,984/250,746
  6. Step 6: Final answer
    x = 1,087,642.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.