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Finding the Third Proportional to 330,142.08 and 524,760.40

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Solution

The third proportional to 330,142.08 and 524,760.40 is: 834,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,142.08 : 524,760.40 = 524,760.40 : x
  2. Step 2: Convert to fraction form
    330,142.08/524,760.40 = 524,760.40/x
  3. Step 3: Cross multiply
    330,142.08x = 524,760.40 × 524,760.40
  4. Step 4: Simplify right side
    330,142.08x = 275,373,475,768.28
  5. Step 5: Solve for x
    x = 275,373,475,768.28/330,142.08
  6. Step 6: Final answer
    x = 834,105.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.