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Finding the Third Proportional to 301,450 and 466,556

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Solution

The third proportional to 301,450 and 466,556 is: 722,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,450 : 466,556 = 466,556 : x
  2. Step 2: Convert to fraction form
    301,450/466,556 = 466,556/x
  3. Step 3: Cross multiply
    301,450x = 466,556 × 466,556
  4. Step 4: Simplify right side
    301,450x = 217,674,501,136
  5. Step 5: Solve for x
    x = 217,674,501,136/301,450
  6. Step 6: Final answer
    x = 722,091.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.