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Finding the Third Proportional to 414,460 and 623,229

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Solution

The third proportional to 414,460 and 623,229 is: 937,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,460 : 623,229 = 623,229 : x
  2. Step 2: Convert to fraction form
    414,460/623,229 = 623,229/x
  3. Step 3: Cross multiply
    414,460x = 623,229 × 623,229
  4. Step 4: Simplify right side
    414,460x = 388,414,386,441
  5. Step 5: Solve for x
    x = 388,414,386,441/414,460
  6. Step 6: Final answer
    x = 937,157.71

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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.