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Finding the Third Proportional to 201,762 and 442,705

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Solution

The third proportional to 201,762 and 442,705 is: 971,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762 : 442,705 = 442,705 : x
  2. Step 2: Convert to fraction form
    201,762/442,705 = 442,705/x
  3. Step 3: Cross multiply
    201,762x = 442,705 × 442,705
  4. Step 4: Simplify right side
    201,762x = 195,987,717,025
  5. Step 5: Solve for x
    x = 195,987,717,025/201,762
  6. Step 6: Final answer
    x = 971,380.72

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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.