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Finding the Third Proportional to 360,272 and 783,966

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Solution

The third proportional to 360,272 and 783,966 is: 1,705,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,272 : 783,966 = 783,966 : x
  2. Step 2: Convert to fraction form
    360,272/783,966 = 783,966/x
  3. Step 3: Cross multiply
    360,272x = 783,966 × 783,966
  4. Step 4: Simplify right side
    360,272x = 614,602,689,156
  5. Step 5: Solve for x
    x = 614,602,689,156/360,272
  6. Step 6: Final answer
    x = 1,705,940.76

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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.