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Finding the Third Proportional to 576,189 and 872,234

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Solution

The third proportional to 576,189 and 872,234 is: 1,320,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,189 : 872,234 = 872,234 : x
  2. Step 2: Convert to fraction form
    576,189/872,234 = 872,234/x
  3. Step 3: Cross multiply
    576,189x = 872,234 × 872,234
  4. Step 4: Simplify right side
    576,189x = 760,792,150,756
  5. Step 5: Solve for x
    x = 760,792,150,756/576,189
  6. Step 6: Final answer
    x = 1,320,386.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.