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Finding the Third Proportional to 576,182 and 872,223

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Solution

The third proportional to 576,182 and 872,223 is: 1,320,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,182 : 872,223 = 872,223 : x
  2. Step 2: Convert to fraction form
    576,182/872,223 = 872,223/x
  3. Step 3: Cross multiply
    576,182x = 872,223 × 872,223
  4. Step 4: Simplify right side
    576,182x = 760,772,961,729
  5. Step 5: Solve for x
    x = 760,772,961,729/576,182
  6. Step 6: Final answer
    x = 1,320,369.19

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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.