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Finding the Third Proportional to 200,726.44 and 432,788.06

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Solution

The third proportional to 200,726.44 and 432,788.06 is: 933,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.44 : 432,788.06 = 432,788.06 : x
  2. Step 2: Convert to fraction form
    200,726.44/432,788.06 = 432,788.06/x
  3. Step 3: Cross multiply
    200,726.44x = 432,788.06 × 432,788.06
  4. Step 4: Simplify right side
    200,726.44x = 187,305,507,042.50
  5. Step 5: Solve for x
    x = 187,305,507,042.50/200,726.44
  6. Step 6: Final answer
    x = 933,138.20

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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.