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Finding the Third Proportional to 322,322.25 and 683,063.25

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Solution

The third proportional to 322,322.25 and 683,063.25 is: 1,447,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,322.25 : 683,063.25 = 683,063.25 : x
  2. Step 2: Convert to fraction form
    322,322.25/683,063.25 = 683,063.25/x
  3. Step 3: Cross multiply
    322,322.25x = 683,063.25 × 683,063.25
  4. Step 4: Simplify right side
    322,322.25x = 466,575,403,500.56
  5. Step 5: Solve for x
    x = 466,575,403,500.56/322,322.25
  6. Step 6: Final answer
    x = 1,447,543.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.