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Finding the Third Proportional to 312,447.38 and 466,626.94

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Solution

The third proportional to 312,447.38 and 466,626.94 is: 696,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.38 : 466,626.94 = 466,626.94 : x
  2. Step 2: Convert to fraction form
    312,447.38/466,626.94 = 466,626.94/x
  3. Step 3: Cross multiply
    312,447.38x = 466,626.94 × 466,626.94
  4. Step 4: Simplify right side
    312,447.38x = 217,740,698,800.63
  5. Step 5: Solve for x
    x = 217,740,698,800.63/312,447.38
  6. Step 6: Final answer
    x = 696,887.59

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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.