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Finding the Third Proportional to 321,096.94 and 705,754.13

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Solution

The third proportional to 321,096.94 and 705,754.13 is: 1,551,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,096.94 : 705,754.13 = 705,754.13 : x
  2. Step 2: Convert to fraction form
    321,096.94/705,754.13 = 705,754.13/x
  3. Step 3: Cross multiply
    321,096.94x = 705,754.13 × 705,754.13
  4. Step 4: Simplify right side
    321,096.94x = 498,088,884,954.52
  5. Step 5: Solve for x
    x = 498,088,884,954.52/321,096.94
  6. Step 6: Final answer
    x = 1,551,210.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.