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Finding the Third Proportional to 224,604.14 and 486,554.34

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Solution

The third proportional to 224,604.14 and 486,554.34 is: 1,054,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,604.14 : 486,554.34 = 486,554.34 : x
  2. Step 2: Convert to fraction form
    224,604.14/486,554.34 = 486,554.34/x
  3. Step 3: Cross multiply
    224,604.14x = 486,554.34 × 486,554.34
  4. Step 4: Simplify right side
    224,604.14x = 236,735,129,421.99
  5. Step 5: Solve for x
    x = 236,735,129,421.99/224,604.14
  6. Step 6: Final answer
    x = 1,054,010.53

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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.