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Finding the Third Proportional to 214,653 and 466,209

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Solution

The third proportional to 214,653 and 466,209 is: 1,012,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,653 : 466,209 = 466,209 : x
  2. Step 2: Convert to fraction form
    214,653/466,209 = 466,209/x
  3. Step 3: Cross multiply
    214,653x = 466,209 × 466,209
  4. Step 4: Simplify right side
    214,653x = 217,350,831,681
  5. Step 5: Solve for x
    x = 217,350,831,681/214,653
  6. Step 6: Final answer
    x = 1,012,568.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.