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Finding the Third Proportional to 450,250 and 960,764

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Solution

The third proportional to 450,250 and 960,764 is: 2,050,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,250 : 960,764 = 960,764 : x
  2. Step 2: Convert to fraction form
    450,250/960,764 = 960,764/x
  3. Step 3: Cross multiply
    450,250x = 960,764 × 960,764
  4. Step 4: Simplify right side
    450,250x = 923,067,463,696
  5. Step 5: Solve for x
    x = 923,067,463,696/450,250
  6. Step 6: Final answer
    x = 2,050,122.07

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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.