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Finding the Third Proportional to 214,656 and 466,215

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Solution

The third proportional to 214,656 and 466,215 is: 1,012,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,656 : 466,215 = 466,215 : x
  2. Step 2: Convert to fraction form
    214,656/466,215 = 466,215/x
  3. Step 3: Cross multiply
    214,656x = 466,215 × 466,215
  4. Step 4: Simplify right side
    214,656x = 217,356,426,225
  5. Step 5: Solve for x
    x = 217,356,426,225/214,656
  6. Step 6: Final answer
    x = 1,012,580.25

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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.