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Finding the Third Proportional to 301,077 and 466,033.50

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Solution

The third proportional to 301,077 and 466,033.50 is: 721,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077 : 466,033.50 = 466,033.50 : x
  2. Step 2: Convert to fraction form
    301,077/466,033.50 = 466,033.50/x
  3. Step 3: Cross multiply
    301,077x = 466,033.50 × 466,033.50
  4. Step 4: Simplify right side
    301,077x = 217,187,223,122.25
  5. Step 5: Solve for x
    x = 217,187,223,122.25/301,077
  6. Step 6: Final answer
    x = 721,367.70

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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.