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Finding the Third Proportional to 450,043.50 and 960,351

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Solution

The third proportional to 450,043.50 and 960,351 is: 2,049,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,043.50 : 960,351 = 960,351 : x
  2. Step 2: Convert to fraction form
    450,043.50/960,351 = 960,351/x
  3. Step 3: Cross multiply
    450,043.50x = 960,351 × 960,351
  4. Step 4: Simplify right side
    450,043.50x = 922,274,043,201
  5. Step 5: Solve for x
    x = 922,274,043,201/450,043.50
  6. Step 6: Final answer
    x = 2,049,299.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.