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Finding the Third Proportional to 201,768 and 442,717

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Solution

The third proportional to 201,768 and 442,717 is: 971,404.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,768 : 442,717 = 442,717 : x
  2. Step 2: Convert to fraction form
    201,768/442,717 = 442,717/x
  3. Step 3: Cross multiply
    201,768x = 442,717 × 442,717
  4. Step 4: Simplify right side
    201,768x = 195,998,342,089
  5. Step 5: Solve for x
    x = 195,998,342,089/201,768
  6. Step 6: Final answer
    x = 971,404.49

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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.