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Finding the Third Proportional to 576,180 and 872,220

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Solution

The third proportional to 576,180 and 872,220 is: 1,320,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,180 : 872,220 = 872,220 : x
  2. Step 2: Convert to fraction form
    576,180/872,220 = 872,220/x
  3. Step 3: Cross multiply
    576,180x = 872,220 × 872,220
  4. Step 4: Simplify right side
    576,180x = 760,767,728,400
  5. Step 5: Solve for x
    x = 760,767,728,400/576,180
  6. Step 6: Final answer
    x = 1,320,364.69

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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.