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Finding the Third Proportional to 255,924 and 550,725

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Solution

The third proportional to 255,924 and 550,725 is: 1,185,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,924 : 550,725 = 550,725 : x
  2. Step 2: Convert to fraction form
    255,924/550,725 = 550,725/x
  3. Step 3: Cross multiply
    255,924x = 550,725 × 550,725
  4. Step 4: Simplify right side
    255,924x = 303,298,025,625
  5. Step 5: Solve for x
    x = 303,298,025,625/255,924
  6. Step 6: Final answer
    x = 1,185,109.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.