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Finding the Third Proportional to 200,841 and 432,786

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Solution

The third proportional to 200,841 and 432,786 is: 932,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841 : 432,786 = 432,786 : x
  2. Step 2: Convert to fraction form
    200,841/432,786 = 432,786/x
  3. Step 3: Cross multiply
    200,841x = 432,786 × 432,786
  4. Step 4: Simplify right side
    200,841x = 187,303,721,796
  5. Step 5: Solve for x
    x = 187,303,721,796/200,841
  6. Step 6: Final answer
    x = 932,597.04

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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.