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Finding the Third Proportional to 200,817 and 432,738

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Solution

The third proportional to 200,817 and 432,738 is: 932,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817 : 432,738 = 432,738 : x
  2. Step 2: Convert to fraction form
    200,817/432,738 = 432,738/x
  3. Step 3: Cross multiply
    200,817x = 432,738 × 432,738
  4. Step 4: Simplify right side
    200,817x = 187,262,176,644
  5. Step 5: Solve for x
    x = 187,262,176,644/200,817
  6. Step 6: Final answer
    x = 932,501.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.