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Finding the Third Proportional to 576,184 and 872,226

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Solution

The third proportional to 576,184 and 872,226 is: 1,320,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,184 : 872,226 = 872,226 : x
  2. Step 2: Convert to fraction form
    576,184/872,226 = 872,226/x
  3. Step 3: Cross multiply
    576,184x = 872,226 × 872,226
  4. Step 4: Simplify right side
    576,184x = 760,778,195,076
  5. Step 5: Solve for x
    x = 760,778,195,076/576,184
  6. Step 6: Final answer
    x = 1,320,373.69

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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.