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Finding the Third Proportional to 214,254 and 466,618.50

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Solution

The third proportional to 214,254 and 466,618.50 is: 1,016,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,254 : 466,618.50 = 466,618.50 : x
  2. Step 2: Convert to fraction form
    214,254/466,618.50 = 466,618.50/x
  3. Step 3: Cross multiply
    214,254x = 466,618.50 × 466,618.50
  4. Step 4: Simplify right side
    214,254x = 217,732,824,542.25
  5. Step 5: Solve for x
    x = 217,732,824,542.25/214,254
  6. Step 6: Final answer
    x = 1,016,236.92

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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.