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Finding the Third Proportional to 200,745 and 432,837

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Solution

The third proportional to 200,745 and 432,837 is: 933,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 432,837 = 432,837 : x
  2. Step 2: Convert to fraction form
    200,745/432,837 = 432,837/x
  3. Step 3: Cross multiply
    200,745x = 432,837 × 432,837
  4. Step 4: Simplify right side
    200,745x = 187,347,868,569
  5. Step 5: Solve for x
    x = 187,347,868,569/200,745
  6. Step 6: Final answer
    x = 933,262.94

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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.