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Finding the Third Proportional to 325,566 and 705,462.75

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Solution

The third proportional to 325,566 and 705,462.75 is: 1,528,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,566 : 705,462.75 = 705,462.75 : x
  2. Step 2: Convert to fraction form
    325,566/705,462.75 = 705,462.75/x
  3. Step 3: Cross multiply
    325,566x = 705,462.75 × 705,462.75
  4. Step 4: Simplify right side
    325,566x = 497,677,691,637.56
  5. Step 5: Solve for x
    x = 497,677,691,637.56/325,566
  6. Step 6: Final answer
    x = 1,528,653.76

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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.