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Finding the Third Proportional to 240,825.50 and 529,321

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Solution

The third proportional to 240,825.50 and 529,321 is: 1,163,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,825.50 : 529,321 = 529,321 : x
  2. Step 2: Convert to fraction form
    240,825.50/529,321 = 529,321/x
  3. Step 3: Cross multiply
    240,825.50x = 529,321 × 529,321
  4. Step 4: Simplify right side
    240,825.50x = 280,180,721,041
  5. Step 5: Solve for x
    x = 280,180,721,041/240,825.50
  6. Step 6: Final answer
    x = 1,163,418.00

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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.