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Finding the Third Proportional to 207,262 and 442,964

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Solution

The third proportional to 207,262 and 442,964 is: 946,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,262 : 442,964 = 442,964 : x
  2. Step 2: Convert to fraction form
    207,262/442,964 = 442,964/x
  3. Step 3: Cross multiply
    207,262x = 442,964 × 442,964
  4. Step 4: Simplify right side
    207,262x = 196,217,105,296
  5. Step 5: Solve for x
    x = 196,217,105,296/207,262
  6. Step 6: Final answer
    x = 946,710.47

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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.