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Finding the Third Proportional to 383,013 and 536,712

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Solution

The third proportional to 383,013 and 536,712 is: 752,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,013 : 536,712 = 536,712 : x
  2. Step 2: Convert to fraction form
    383,013/536,712 = 536,712/x
  3. Step 3: Cross multiply
    383,013x = 536,712 × 536,712
  4. Step 4: Simplify right side
    383,013x = 288,059,770,944
  5. Step 5: Solve for x
    x = 288,059,770,944/383,013
  6. Step 6: Final answer
    x = 752,088.76

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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.