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Finding the Third Proportional to 414,049.13 and 623,146.88

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Solution

The third proportional to 414,049.13 and 623,146.88 is: 937,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,049.13 : 623,146.88 = 623,146.88 : x
  2. Step 2: Convert to fraction form
    414,049.13/623,146.88 = 623,146.88/x
  3. Step 3: Cross multiply
    414,049.13x = 623,146.88 × 623,146.88
  4. Step 4: Simplify right side
    414,049.13x = 388,312,027,822.27
  5. Step 5: Solve for x
    x = 388,312,027,822.27/414,049.13
  6. Step 6: Final answer
    x = 937,840.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.