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Finding the Third Proportional to 322,975.50 and 695,308.50

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Solution

The third proportional to 322,975.50 and 695,308.50 is: 1,496,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,975.50 : 695,308.50 = 695,308.50 : x
  2. Step 2: Convert to fraction form
    322,975.50/695,308.50 = 695,308.50/x
  3. Step 3: Cross multiply
    322,975.50x = 695,308.50 × 695,308.50
  4. Step 4: Simplify right side
    322,975.50x = 483,453,910,172.25
  5. Step 5: Solve for x
    x = 483,453,910,172.25/322,975.50
  6. Step 6: Final answer
    x = 1,496,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.