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Finding the Third Proportional to 449,016 and 960,294

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Solution

The third proportional to 449,016 and 960,294 is: 2,053,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,016 : 960,294 = 960,294 : x
  2. Step 2: Convert to fraction form
    449,016/960,294 = 960,294/x
  3. Step 3: Cross multiply
    449,016x = 960,294 × 960,294
  4. Step 4: Simplify right side
    449,016x = 922,164,566,436
  5. Step 5: Solve for x
    x = 922,164,566,436/449,016
  6. Step 6: Final answer
    x = 2,053,745.45

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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.