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Finding the Third Proportional to 201,763 and 442,710

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Solution

The third proportional to 201,763 and 442,710 is: 971,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,763 : 442,710 = 442,710 : x
  2. Step 2: Convert to fraction form
    201,763/442,710 = 442,710/x
  3. Step 3: Cross multiply
    201,763x = 442,710 × 442,710
  4. Step 4: Simplify right side
    201,763x = 195,992,144,100
  5. Step 5: Solve for x
    x = 195,992,144,100/201,763
  6. Step 6: Final answer
    x = 971,397.85

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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.