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Finding the Third Proportional to 364,384.41 and 800,507.81

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Solution

The third proportional to 364,384.41 and 800,507.81 is: 1,758,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,384.41 : 800,507.81 = 800,507.81 : x
  2. Step 2: Convert to fraction form
    364,384.41/800,507.81 = 800,507.81/x
  3. Step 3: Cross multiply
    364,384.41x = 800,507.81 × 800,507.81
  4. Step 4: Simplify right side
    364,384.41x = 640,812,757,873.54
  5. Step 5: Solve for x
    x = 640,812,757,873.54/364,384.41
  6. Step 6: Final answer
    x = 1,758,617.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.