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Finding the Third Proportional to 414,670 and 624,920

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Solution

The third proportional to 414,670 and 624,920 is: 941,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,670 : 624,920 = 624,920 : x
  2. Step 2: Convert to fraction form
    414,670/624,920 = 624,920/x
  3. Step 3: Cross multiply
    414,670x = 624,920 × 624,920
  4. Step 4: Simplify right side
    414,670x = 390,525,006,400
  5. Step 5: Solve for x
    x = 390,525,006,400/414,670
  6. Step 6: Final answer
    x = 941,772.99

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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.