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Finding the Third Proportional to 312,202.50 and 464,847

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Solution

The third proportional to 312,202.50 and 464,847 is: 692,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,202.50 : 464,847 = 464,847 : x
  2. Step 2: Convert to fraction form
    312,202.50/464,847 = 464,847/x
  3. Step 3: Cross multiply
    312,202.50x = 464,847 × 464,847
  4. Step 4: Simplify right side
    312,202.50x = 216,082,733,409
  5. Step 5: Solve for x
    x = 216,082,733,409/312,202.50
  6. Step 6: Final answer
    x = 692,123.65

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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.