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Finding the Third Proportional to 120,791 and 265,480

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Solution

The third proportional to 120,791 and 265,480 is: 583,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791 : 265,480 = 265,480 : x
  2. Step 2: Convert to fraction form
    120,791/265,480 = 265,480/x
  3. Step 3: Cross multiply
    120,791x = 265,480 × 265,480
  4. Step 4: Simplify right side
    120,791x = 70,479,630,400
  5. Step 5: Solve for x
    x = 70,479,630,400/120,791
  6. Step 6: Final answer
    x = 583,484.12

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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.