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Finding the Third Proportional to 269,363.63 and 586,019.44

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Solution

The third proportional to 269,363.63 and 586,019.44 is: 1,274,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,363.63 : 586,019.44 = 586,019.44 : x
  2. Step 2: Convert to fraction form
    269,363.63/586,019.44 = 586,019.44/x
  3. Step 3: Cross multiply
    269,363.63x = 586,019.44 × 586,019.44
  4. Step 4: Simplify right side
    269,363.63x = 343,418,781,127.82
  5. Step 5: Solve for x
    x = 343,418,781,127.82/269,363.63
  6. Step 6: Final answer
    x = 1,274,926.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.