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Finding the Third Proportional to 414,458 and 623,225.75

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Solution

The third proportional to 414,458 and 623,225.75 is: 937,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,458 : 623,225.75 = 623,225.75 : x
  2. Step 2: Convert to fraction form
    414,458/623,225.75 = 623,225.75/x
  3. Step 3: Cross multiply
    414,458x = 623,225.75 × 623,225.75
  4. Step 4: Simplify right side
    414,458x = 388,410,335,463.06
  5. Step 5: Solve for x
    x = 388,410,335,463.06/414,458
  6. Step 6: Final answer
    x = 937,152.46

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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.