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Finding the Third Proportional to 217,048.50 and 450,729

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Solution

The third proportional to 217,048.50 and 450,729 is: 935,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,048.50 : 450,729 = 450,729 : x
  2. Step 2: Convert to fraction form
    217,048.50/450,729 = 450,729/x
  3. Step 3: Cross multiply
    217,048.50x = 450,729 × 450,729
  4. Step 4: Simplify right side
    217,048.50x = 203,156,631,441
  5. Step 5: Solve for x
    x = 203,156,631,441/217,048.50
  6. Step 6: Final answer
    x = 935,996.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.