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Finding the Third Proportional to 323,524.50 and 700,598.25

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Solution

The third proportional to 323,524.50 and 700,598.25 is: 1,517,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,524.50 : 700,598.25 = 700,598.25 : x
  2. Step 2: Convert to fraction form
    323,524.50/700,598.25 = 700,598.25/x
  3. Step 3: Cross multiply
    323,524.50x = 700,598.25 × 700,598.25
  4. Step 4: Simplify right side
    323,524.50x = 490,837,907,903.06
  5. Step 5: Solve for x
    x = 490,837,907,903.06/323,524.50
  6. Step 6: Final answer
    x = 1,517,158.38

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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.