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Finding the Third Proportional to 240,836 and 529,345

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Solution

The third proportional to 240,836 and 529,345 is: 1,163,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,836 : 529,345 = 529,345 : x
  2. Step 2: Convert to fraction form
    240,836/529,345 = 529,345/x
  3. Step 3: Cross multiply
    240,836x = 529,345 × 529,345
  4. Step 4: Simplify right side
    240,836x = 280,206,129,025
  5. Step 5: Solve for x
    x = 280,206,129,025/240,836
  6. Step 6: Final answer
    x = 1,163,472.77

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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.