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Finding the Third Proportional to 221,638.50 and 474,813

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Solution

The third proportional to 221,638.50 and 474,813 is: 1,017,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,638.50 : 474,813 = 474,813 : x
  2. Step 2: Convert to fraction form
    221,638.50/474,813 = 474,813/x
  3. Step 3: Cross multiply
    221,638.50x = 474,813 × 474,813
  4. Step 4: Simplify right side
    221,638.50x = 225,447,384,969
  5. Step 5: Solve for x
    x = 225,447,384,969/221,638.50
  6. Step 6: Final answer
    x = 1,017,185.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.