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Finding the Third Proportional to 576,185 and 872,228

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Solution

The third proportional to 576,185 and 872,228 is: 1,320,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,185 : 872,228 = 872,228 : x
  2. Step 2: Convert to fraction form
    576,185/872,228 = 872,228/x
  3. Step 3: Cross multiply
    576,185x = 872,228 × 872,228
  4. Step 4: Simplify right side
    576,185x = 760,781,683,984
  5. Step 5: Solve for x
    x = 760,781,683,984/576,185
  6. Step 6: Final answer
    x = 1,320,377.46

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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.