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Finding the Third Proportional to 312,538.50 and 466,749

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Solution

The third proportional to 312,538.50 and 466,749 is: 697,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,538.50 : 466,749 = 466,749 : x
  2. Step 2: Convert to fraction form
    312,538.50/466,749 = 466,749/x
  3. Step 3: Cross multiply
    312,538.50x = 466,749 × 466,749
  4. Step 4: Simplify right side
    312,538.50x = 217,854,629,001
  5. Step 5: Solve for x
    x = 217,854,629,001/312,538.50
  6. Step 6: Final answer
    x = 697,048.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.