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Finding the Third Proportional to 377,331.50 and 564,503

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Solution

The third proportional to 377,331.50 and 564,503 is: 844,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,331.50 : 564,503 = 564,503 : x
  2. Step 2: Convert to fraction form
    377,331.50/564,503 = 564,503/x
  3. Step 3: Cross multiply
    377,331.50x = 564,503 × 564,503
  4. Step 4: Simplify right side
    377,331.50x = 318,663,637,009
  5. Step 5: Solve for x
    x = 318,663,637,009/377,331.50
  6. Step 6: Final answer
    x = 844,519.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.