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Finding the Third Proportional to 214,808.63 and 447,265.13

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Solution

The third proportional to 214,808.63 and 447,265.13 is: 931,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,808.63 : 447,265.13 = 447,265.13 : x
  2. Step 2: Convert to fraction form
    214,808.63/447,265.13 = 447,265.13/x
  3. Step 3: Cross multiply
    214,808.63x = 447,265.13 × 447,265.13
  4. Step 4: Simplify right side
    214,808.63x = 200,046,092,041.27
  5. Step 5: Solve for x
    x = 200,046,092,041.27/214,808.63
  6. Step 6: Final answer
    x = 931,275.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.