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Finding the Third Proportional to 229,014 and 464,496

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Solution

The third proportional to 229,014 and 464,496 is: 942,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,014 : 464,496 = 464,496 : x
  2. Step 2: Convert to fraction form
    229,014/464,496 = 464,496/x
  3. Step 3: Cross multiply
    229,014x = 464,496 × 464,496
  4. Step 4: Simplify right side
    229,014x = 215,756,534,016
  5. Step 5: Solve for x
    x = 215,756,534,016/229,014
  6. Step 6: Final answer
    x = 942,110.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.