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Finding the Third Proportional to 445,344.75 and 960,670.13

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Solution

The third proportional to 445,344.75 and 960,670.13 is: 2,072,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,344.75 : 960,670.13 = 960,670.13 : x
  2. Step 2: Convert to fraction form
    445,344.75/960,670.13 = 960,670.13/x
  3. Step 3: Cross multiply
    445,344.75x = 960,670.13 × 960,670.13
  4. Step 4: Simplify right side
    445,344.75x = 922,887,089,067.52
  5. Step 5: Solve for x
    x = 922,887,089,067.52/445,344.75
  6. Step 6: Final answer
    x = 2,072,298.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.