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Finding the Third Proportional to 255,744 and 562,248

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Solution

The third proportional to 255,744 and 562,248 is: 1,236,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744 : 562,248 = 562,248 : x
  2. Step 2: Convert to fraction form
    255,744/562,248 = 562,248/x
  3. Step 3: Cross multiply
    255,744x = 562,248 × 562,248
  4. Step 4: Simplify right side
    255,744x = 316,122,813,504
  5. Step 5: Solve for x
    x = 316,122,813,504/255,744
  6. Step 6: Final answer
    x = 1,236,090.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.