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Finding the Third Proportional to 432,677.50 and 946,921

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Solution

The third proportional to 432,677.50 and 946,921 is: 2,072,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,677.50 : 946,921 = 946,921 : x
  2. Step 2: Convert to fraction form
    432,677.50/946,921 = 946,921/x
  3. Step 3: Cross multiply
    432,677.50x = 946,921 × 946,921
  4. Step 4: Simplify right side
    432,677.50x = 896,659,380,241
  5. Step 5: Solve for x
    x = 896,659,380,241/432,677.50
  6. Step 6: Final answer
    x = 2,072,350.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.