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Finding the Third Proportional to 226,898 and 487,492

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Solution

The third proportional to 226,898 and 487,492 is: 1,047,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,898 : 487,492 = 487,492 : x
  2. Step 2: Convert to fraction form
    226,898/487,492 = 487,492/x
  3. Step 3: Cross multiply
    226,898x = 487,492 × 487,492
  4. Step 4: Simplify right side
    226,898x = 237,648,450,064
  5. Step 5: Solve for x
    x = 237,648,450,064/226,898
  6. Step 6: Final answer
    x = 1,047,380.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.