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Finding the Third Proportional to 214,314 and 466,724

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Solution

The third proportional to 214,314 and 466,724 is: 1,016,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,314 : 466,724 = 466,724 : x
  2. Step 2: Convert to fraction form
    214,314/466,724 = 466,724/x
  3. Step 3: Cross multiply
    214,314x = 466,724 × 466,724
  4. Step 4: Simplify right side
    214,314x = 217,831,292,176
  5. Step 5: Solve for x
    x = 217,831,292,176/214,314
  6. Step 6: Final answer
    x = 1,016,411.86

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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.