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Finding the Third Proportional to 207,426 and 452,394

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Solution

The third proportional to 207,426 and 452,394 is: 986,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,426 : 452,394 = 452,394 : x
  2. Step 2: Convert to fraction form
    207,426/452,394 = 452,394/x
  3. Step 3: Cross multiply
    207,426x = 452,394 × 452,394
  4. Step 4: Simplify right side
    207,426x = 204,660,331,236
  5. Step 5: Solve for x
    x = 204,660,331,236/207,426
  6. Step 6: Final answer
    x = 986,666.72

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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.