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Finding the Third Proportional to 353,726.84 and 763,471.35

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Solution

The third proportional to 353,726.84 and 763,471.35 is: 1,647,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,726.84 : 763,471.35 = 763,471.35 : x
  2. Step 2: Convert to fraction form
    353,726.84/763,471.35 = 763,471.35/x
  3. Step 3: Cross multiply
    353,726.84x = 763,471.35 × 763,471.35
  4. Step 4: Simplify right side
    353,726.84x = 582,888,507,638.94
  5. Step 5: Solve for x
    x = 582,888,507,638.94/353,726.84
  6. Step 6: Final answer
    x = 1,647,849.24

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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.