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Finding the Third Proportional to 200,732 and 432,797

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Solution

The third proportional to 200,732 and 432,797 is: 933,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 432,797 = 432,797 : x
  2. Step 2: Convert to fraction form
    200,732/432,797 = 432,797/x
  3. Step 3: Cross multiply
    200,732x = 432,797 × 432,797
  4. Step 4: Simplify right side
    200,732x = 187,313,243,209
  5. Step 5: Solve for x
    x = 187,313,243,209/200,732
  6. Step 6: Final answer
    x = 933,150.88

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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.