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Finding the Third Proportional to 450,048 and 960,360

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Solution

The third proportional to 450,048 and 960,360 is: 2,049,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,048 : 960,360 = 960,360 : x
  2. Step 2: Convert to fraction form
    450,048/960,360 = 960,360/x
  3. Step 3: Cross multiply
    450,048x = 960,360 × 960,360
  4. Step 4: Simplify right side
    450,048x = 922,291,329,600
  5. Step 5: Solve for x
    x = 922,291,329,600/450,048
  6. Step 6: Final answer
    x = 2,049,317.69

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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.