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Finding the Third Proportional to 576,168 and 872,208

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Solution

The third proportional to 576,168 and 872,208 is: 1,320,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,168 : 872,208 = 872,208 : x
  2. Step 2: Convert to fraction form
    576,168/872,208 = 872,208/x
  3. Step 3: Cross multiply
    576,168x = 872,208 × 872,208
  4. Step 4: Simplify right side
    576,168x = 760,746,795,264
  5. Step 5: Solve for x
    x = 760,746,795,264/576,168
  6. Step 6: Final answer
    x = 1,320,355.86

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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.