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Finding the Third Proportional to 398,719.13 and 874,933.88

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Solution

The third proportional to 398,719.13 and 874,933.88 is: 1,919,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,719.13 : 874,933.88 = 874,933.88 : x
  2. Step 2: Convert to fraction form
    398,719.13/874,933.88 = 874,933.88/x
  3. Step 3: Cross multiply
    398,719.13x = 874,933.88 × 874,933.88
  4. Step 4: Simplify right side
    398,719.13x = 765,509,285,622.52
  5. Step 5: Solve for x
    x = 765,509,285,622.52/398,719.13
  6. Step 6: Final answer
    x = 1,919,921.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.