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Finding the Third Proportional to 576,186 and 872,229

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Solution

The third proportional to 576,186 and 872,229 is: 1,320,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,186 : 872,229 = 872,229 : x
  2. Step 2: Convert to fraction form
    576,186/872,229 = 872,229/x
  3. Step 3: Cross multiply
    576,186x = 872,229 × 872,229
  4. Step 4: Simplify right side
    576,186x = 760,783,428,441
  5. Step 5: Solve for x
    x = 760,783,428,441/576,186
  6. Step 6: Final answer
    x = 1,320,378.19

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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.