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Finding the Third Proportional to 364,433.44 and 784,744.29

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Solution

The third proportional to 364,433.44 and 784,744.29 is: 1,689,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,433.44 : 784,744.29 = 784,744.29 : x
  2. Step 2: Convert to fraction form
    364,433.44/784,744.29 = 784,744.29/x
  3. Step 3: Cross multiply
    364,433.44x = 784,744.29 × 784,744.29
  4. Step 4: Simplify right side
    364,433.44x = 615,823,608,412.44
  5. Step 5: Solve for x
    x = 615,823,608,412.44/364,433.44
  6. Step 6: Final answer
    x = 1,689,810.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.