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Finding the Third Proportional to 445,321.13 and 970,565.63

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Solution

The third proportional to 445,321.13 and 970,565.63 is: 2,115,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,321.13 : 970,565.63 = 970,565.63 : x
  2. Step 2: Convert to fraction form
    445,321.13/970,565.63 = 970,565.63/x
  3. Step 3: Cross multiply
    445,321.13x = 970,565.63 × 970,565.63
  4. Step 4: Simplify right side
    445,321.13x = 941,997,632,431.64
  5. Step 5: Solve for x
    x = 941,997,632,431.64/445,321.13
  6. Step 6: Final answer
    x = 2,115,322.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.