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Finding the Third Proportional to 120,785 and 265,466

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Solution

The third proportional to 120,785 and 265,466 is: 583,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,785 : 265,466 = 265,466 : x
  2. Step 2: Convert to fraction form
    120,785/265,466 = 265,466/x
  3. Step 3: Cross multiply
    120,785x = 265,466 × 265,466
  4. Step 4: Simplify right side
    120,785x = 70,472,197,156
  5. Step 5: Solve for x
    x = 70,472,197,156/120,785
  6. Step 6: Final answer
    x = 583,451.56

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