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Finding the Third Proportional to 214,085.25 and 466,311.13

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Solution

The third proportional to 214,085.25 and 466,311.13 is: 1,015,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,085.25 : 466,311.13 = 466,311.13 : x
  2. Step 2: Convert to fraction form
    214,085.25/466,311.13 = 466,311.13/x
  3. Step 3: Cross multiply
    214,085.25x = 466,311.13 × 466,311.13
  4. Step 4: Simplify right side
    214,085.25x = 217,446,065,298.77
  5. Step 5: Solve for x
    x = 217,446,065,298.77/214,085.25
  6. Step 6: Final answer
    x = 1,015,698.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.