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Finding the Third Proportional to 331,053.75 and 524,566.13

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Solution

The third proportional to 331,053.75 and 524,566.13 is: 831,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,053.75 : 524,566.13 = 524,566.13 : x
  2. Step 2: Convert to fraction form
    331,053.75/524,566.13 = 524,566.13/x
  3. Step 3: Cross multiply
    331,053.75x = 524,566.13 × 524,566.13
  4. Step 4: Simplify right side
    331,053.75x = 275,169,619,497.52
  5. Step 5: Solve for x
    x = 275,169,619,497.52/331,053.75
  6. Step 6: Final answer
    x = 831,193.18

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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.