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Finding the Third Proportional to 207,275 and 453,214

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Solution

The third proportional to 207,275 and 453,214 is: 990,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,275 : 453,214 = 453,214 : x
  2. Step 2: Convert to fraction form
    207,275/453,214 = 453,214/x
  3. Step 3: Cross multiply
    207,275x = 453,214 × 453,214
  4. Step 4: Simplify right side
    207,275x = 205,402,929,796
  5. Step 5: Solve for x
    x = 205,402,929,796/207,275
  6. Step 6: Final answer
    x = 990,968.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.