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Finding the Third Proportional to 260,328 and 389,472

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Solution

The third proportional to 260,328 and 389,472 is: 582,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,328 : 389,472 = 389,472 : x
  2. Step 2: Convert to fraction form
    260,328/389,472 = 389,472/x
  3. Step 3: Cross multiply
    260,328x = 389,472 × 389,472
  4. Step 4: Simplify right side
    260,328x = 151,688,438,784
  5. Step 5: Solve for x
    x = 151,688,438,784/260,328
  6. Step 6: Final answer
    x = 582,682.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.