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Finding the Third Proportional to 414,335.25 and 623,041.88

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Solution

The third proportional to 414,335.25 and 623,041.88 is: 936,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,335.25 : 623,041.88 = 623,041.88 : x
  2. Step 2: Convert to fraction form
    414,335.25/623,041.88 = 623,041.88/x
  3. Step 3: Cross multiply
    414,335.25x = 623,041.88 × 623,041.88
  4. Step 4: Simplify right side
    414,335.25x = 388,181,178,003.52
  5. Step 5: Solve for x
    x = 388,181,178,003.52/414,335.25
  6. Step 6: Final answer
    x = 936,877.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.