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Finding the Third Proportional to 383,764.50 and 575,691

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Solution

The third proportional to 383,764.50 and 575,691 is: 863,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,764.50 : 575,691 = 575,691 : x
  2. Step 2: Convert to fraction form
    383,764.50/575,691 = 575,691/x
  3. Step 3: Cross multiply
    383,764.50x = 575,691 × 575,691
  4. Step 4: Simplify right side
    383,764.50x = 331,420,127,481
  5. Step 5: Solve for x
    x = 331,420,127,481/383,764.50
  6. Step 6: Final answer
    x = 863,602.88

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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.