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Finding the Third Proportional to 214,040 and 468,680

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Solution

The third proportional to 214,040 and 468,680 is: 1,026,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,040 : 468,680 = 468,680 : x
  2. Step 2: Convert to fraction form
    214,040/468,680 = 468,680/x
  3. Step 3: Cross multiply
    214,040x = 468,680 × 468,680
  4. Step 4: Simplify right side
    214,040x = 219,660,942,400
  5. Step 5: Solve for x
    x = 219,660,942,400/214,040
  6. Step 6: Final answer
    x = 1,026,261.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.