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Finding the Third Proportional to 207,273 and 442,986

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Solution

The third proportional to 207,273 and 442,986 is: 946,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,273 : 442,986 = 442,986 : x
  2. Step 2: Convert to fraction form
    207,273/442,986 = 442,986/x
  3. Step 3: Cross multiply
    207,273x = 442,986 × 442,986
  4. Step 4: Simplify right side
    207,273x = 196,236,596,196
  5. Step 5: Solve for x
    x = 196,236,596,196/207,273
  6. Step 6: Final answer
    x = 946,754.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.