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Finding the Third Proportional to 625,280 and 967,808

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Solution

The third proportional to 625,280 and 967,808 is: 1,497,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,280 : 967,808 = 967,808 : x
  2. Step 2: Convert to fraction form
    625,280/967,808 = 967,808/x
  3. Step 3: Cross multiply
    625,280x = 967,808 × 967,808
  4. Step 4: Simplify right side
    625,280x = 936,652,324,864
  5. Step 5: Solve for x
    x = 936,652,324,864/625,280
  6. Step 6: Final answer
    x = 1,497,972.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.