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Finding the Third Proportional to 323,276.06 and 705,601.13

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Solution

The third proportional to 323,276.06 and 705,601.13 is: 1,540,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,276.06 : 705,601.13 = 705,601.13 : x
  2. Step 2: Convert to fraction form
    323,276.06/705,601.13 = 705,601.13/x
  3. Step 3: Cross multiply
    323,276.06x = 705,601.13 × 705,601.13
  4. Step 4: Simplify right side
    323,276.06x = 497,872,947,601.27
  5. Step 5: Solve for x
    x = 497,872,947,601.27/323,276.06
  6. Step 6: Final answer
    x = 1,540,086.03

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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.