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Finding the Third Proportional to 420,885.50 and 920,503

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Solution

The third proportional to 420,885.50 and 920,503 is: 2,013,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,885.50 : 920,503 = 920,503 : x
  2. Step 2: Convert to fraction form
    420,885.50/920,503 = 920,503/x
  3. Step 3: Cross multiply
    420,885.50x = 920,503 × 920,503
  4. Step 4: Simplify right side
    420,885.50x = 847,325,773,009
  5. Step 5: Solve for x
    x = 847,325,773,009/420,885.50
  6. Step 6: Final answer
    x = 2,013,197.82

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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.