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Finding the Third Proportional to 200,717 and 432,767

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Solution

The third proportional to 200,717 and 432,767 is: 933,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,717 : 432,767 = 432,767 : x
  2. Step 2: Convert to fraction form
    200,717/432,767 = 432,767/x
  3. Step 3: Cross multiply
    200,717x = 432,767 × 432,767
  4. Step 4: Simplify right side
    200,717x = 187,287,276,289
  5. Step 5: Solve for x
    x = 187,287,276,289/200,717
  6. Step 6: Final answer
    x = 933,091.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.