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Finding the Third Proportional to 349,727.63 and 541,657.13

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Solution

The third proportional to 349,727.63 and 541,657.13 is: 838,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,727.63 : 541,657.13 = 541,657.13 : x
  2. Step 2: Convert to fraction form
    349,727.63/541,657.13 = 541,657.13/x
  3. Step 3: Cross multiply
    349,727.63x = 541,657.13 × 541,657.13
  4. Step 4: Simplify right side
    349,727.63x = 293,392,441,063.27
  5. Step 5: Solve for x
    x = 293,392,441,063.27/349,727.63
  6. Step 6: Final answer
    x = 838,916.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.