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Finding the Third Proportional to 224,738 and 486,899

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Solution

The third proportional to 224,738 and 486,899 is: 1,054,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,738 : 486,899 = 486,899 : x
  2. Step 2: Convert to fraction form
    224,738/486,899 = 486,899/x
  3. Step 3: Cross multiply
    224,738x = 486,899 × 486,899
  4. Step 4: Simplify right side
    224,738x = 237,070,636,201
  5. Step 5: Solve for x
    x = 237,070,636,201/224,738
  6. Step 6: Final answer
    x = 1,054,875.62

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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.