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Finding the Third Proportional to 217,333.13 and 466,803

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Solution

The third proportional to 217,333.13 and 466,803 is: 1,002,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,333.13 : 466,803 = 466,803 : x
  2. Step 2: Convert to fraction form
    217,333.13/466,803 = 466,803/x
  3. Step 3: Cross multiply
    217,333.13x = 466,803 × 466,803
  4. Step 4: Simplify right side
    217,333.13x = 217,905,040,809
  5. Step 5: Solve for x
    x = 217,905,040,809/217,333.13
  6. Step 6: Final answer
    x = 1,002,631.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.