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Finding the Third Proportional to 226,368 and 481,664

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Solution

The third proportional to 226,368 and 481,664 is: 1,024,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,368 : 481,664 = 481,664 : x
  2. Step 2: Convert to fraction form
    226,368/481,664 = 481,664/x
  3. Step 3: Cross multiply
    226,368x = 481,664 × 481,664
  4. Step 4: Simplify right side
    226,368x = 232,000,208,896
  5. Step 5: Solve for x
    x = 232,000,208,896/226,368
  6. Step 6: Final answer
    x = 1,024,880.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.