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Finding the Third Proportional to 224,742 and 486,907

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Solution

The third proportional to 224,742 and 486,907 is: 1,054,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742 : 486,907 = 486,907 : x
  2. Step 2: Convert to fraction form
    224,742/486,907 = 486,907/x
  3. Step 3: Cross multiply
    224,742x = 486,907 × 486,907
  4. Step 4: Simplify right side
    224,742x = 237,078,426,649
  5. Step 5: Solve for x
    x = 237,078,426,649/224,742
  6. Step 6: Final answer
    x = 1,054,891.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.