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Finding the Third Proportional to 414,504 and 608,148

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Solution

The third proportional to 414,504 and 608,148 is: 892,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,504 : 608,148 = 608,148 : x
  2. Step 2: Convert to fraction form
    414,504/608,148 = 608,148/x
  3. Step 3: Cross multiply
    414,504x = 608,148 × 608,148
  4. Step 4: Simplify right side
    414,504x = 369,843,989,904
  5. Step 5: Solve for x
    x = 369,843,989,904/414,504
  6. Step 6: Final answer
    x = 892,256.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.