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Finding the Third Proportional to 312,121.50 and 663,123

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Solution

The third proportional to 312,121.50 and 663,123 is: 1,408,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,121.50 : 663,123 = 663,123 : x
  2. Step 2: Convert to fraction form
    312,121.50/663,123 = 663,123/x
  3. Step 3: Cross multiply
    312,121.50x = 663,123 × 663,123
  4. Step 4: Simplify right side
    312,121.50x = 439,732,113,129
  5. Step 5: Solve for x
    x = 439,732,113,129/312,121.50
  6. Step 6: Final answer
    x = 1,408,849.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.