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Finding the Third Proportional to 214,672 and 466,220

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Solution

The third proportional to 214,672 and 466,220 is: 1,012,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,672 : 466,220 = 466,220 : x
  2. Step 2: Convert to fraction form
    214,672/466,220 = 466,220/x
  3. Step 3: Cross multiply
    214,672x = 466,220 × 466,220
  4. Step 4: Simplify right side
    214,672x = 217,361,088,400
  5. Step 5: Solve for x
    x = 217,361,088,400/214,672
  6. Step 6: Final answer
    x = 1,012,526.50

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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.