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Finding the Third Proportional to 217,339.03 and 466,814.81

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Solution

The third proportional to 217,339.03 and 466,814.81 is: 1,002,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,339.03 : 466,814.81 = 466,814.81 : x
  2. Step 2: Convert to fraction form
    217,339.03/466,814.81 = 466,814.81/x
  3. Step 3: Cross multiply
    217,339.03x = 466,814.81 × 466,814.81
  4. Step 4: Simplify right side
    217,339.03x = 217,916,069,169.41
  5. Step 5: Solve for x
    x = 217,916,069,169.41/217,339.03
  6. Step 6: Final answer
    x = 1,002,655.01

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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.