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Finding the Third Proportional to 449,024 and 960,308

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Solution

The third proportional to 449,024 and 960,308 is: 2,053,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,024 : 960,308 = 960,308 : x
  2. Step 2: Convert to fraction form
    449,024/960,308 = 960,308/x
  3. Step 3: Cross multiply
    449,024x = 960,308 × 960,308
  4. Step 4: Simplify right side
    449,024x = 922,191,454,864
  5. Step 5: Solve for x
    x = 922,191,454,864/449,024
  6. Step 6: Final answer
    x = 2,053,768.74

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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.