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Finding the Third Proportional to 325,387.13 and 705,517.31

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Solution

The third proportional to 325,387.13 and 705,517.31 is: 1,529,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,387.13 : 705,517.31 = 705,517.31 : x
  2. Step 2: Convert to fraction form
    325,387.13/705,517.31 = 705,517.31/x
  3. Step 3: Cross multiply
    325,387.13x = 705,517.31 × 705,517.31
  4. Step 4: Simplify right side
    325,387.13x = 497,754,678,237.22
  5. Step 5: Solve for x
    x = 497,754,678,237.22/325,387.13
  6. Step 6: Final answer
    x = 1,529,730.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.