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Finding the Third Proportional to 576,150 and 872,187

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Solution

The third proportional to 576,150 and 872,187 is: 1,320,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,150 : 872,187 = 872,187 : x
  2. Step 2: Convert to fraction form
    576,150/872,187 = 872,187/x
  3. Step 3: Cross multiply
    576,150x = 872,187 × 872,187
  4. Step 4: Simplify right side
    576,150x = 760,710,162,969
  5. Step 5: Solve for x
    x = 760,710,162,969/576,150
  6. Step 6: Final answer
    x = 1,320,333.53

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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.