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Finding the Third Proportional to 449,019 and 960,300

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Solution

The third proportional to 449,019 and 960,300 is: 2,053,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,019 : 960,300 = 960,300 : x
  2. Step 2: Convert to fraction form
    449,019/960,300 = 960,300/x
  3. Step 3: Cross multiply
    449,019x = 960,300 × 960,300
  4. Step 4: Simplify right side
    449,019x = 922,176,090,000
  5. Step 5: Solve for x
    x = 922,176,090,000/449,019
  6. Step 6: Final answer
    x = 2,053,757.39

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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.