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Finding the Third Proportional to 331,085.25 and 524,614.50

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Solution

The third proportional to 331,085.25 and 524,614.50 is: 831,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,085.25 : 524,614.50 = 524,614.50 : x
  2. Step 2: Convert to fraction form
    331,085.25/524,614.50 = 524,614.50/x
  3. Step 3: Cross multiply
    331,085.25x = 524,614.50 × 524,614.50
  4. Step 4: Simplify right side
    331,085.25x = 275,220,373,610.25
  5. Step 5: Solve for x
    x = 275,220,373,610.25/331,085.25
  6. Step 6: Final answer
    x = 831,267.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.