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Finding the Third Proportional to 240,822.02 and 529,313.80

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Solution

The third proportional to 240,822.02 and 529,313.80 is: 1,163,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,822.02 : 529,313.80 = 529,313.80 : x
  2. Step 2: Convert to fraction form
    240,822.02/529,313.80 = 529,313.80/x
  3. Step 3: Cross multiply
    240,822.02x = 529,313.80 × 529,313.80
  4. Step 4: Simplify right side
    240,822.02x = 280,173,099,697.49
  5. Step 5: Solve for x
    x = 280,173,099,697.49/240,822.02
  6. Step 6: Final answer
    x = 1,163,403.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.