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Finding the Third Proportional to 248,751.75 and 584,748.75

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Solution

The third proportional to 248,751.75 and 584,748.75 is: 1,374,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,751.75 : 584,748.75 = 584,748.75 : x
  2. Step 2: Convert to fraction form
    248,751.75/584,748.75 = 584,748.75/x
  3. Step 3: Cross multiply
    248,751.75x = 584,748.75 × 584,748.75
  4. Step 4: Simplify right side
    248,751.75x = 341,931,100,626.56
  5. Step 5: Solve for x
    x = 341,931,100,626.56/248,751.75
  6. Step 6: Final answer
    x = 1,374,587.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.