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Finding the Third Proportional to 383,014 and 536,713

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Solution

The third proportional to 383,014 and 536,713 is: 752,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,014 : 536,713 = 536,713 : x
  2. Step 2: Convert to fraction form
    383,014/536,713 = 536,713/x
  3. Step 3: Cross multiply
    383,014x = 536,713 × 536,713
  4. Step 4: Simplify right side
    383,014x = 288,060,844,369
  5. Step 5: Solve for x
    x = 288,060,844,369/383,014
  6. Step 6: Final answer
    x = 752,089.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.