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Finding the Third Proportional to 383,552.25 and 575,328.38

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Solution

The third proportional to 383,552.25 and 575,328.38 is: 862,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,552.25 : 575,328.38 = 575,328.38 : x
  2. Step 2: Convert to fraction form
    383,552.25/575,328.38 = 575,328.38/x
  3. Step 3: Cross multiply
    383,552.25x = 575,328.38 × 575,328.38
  4. Step 4: Simplify right side
    383,552.25x = 331,002,739,080.14
  5. Step 5: Solve for x
    x = 331,002,739,080.14/383,552.25
  6. Step 6: Final answer
    x = 862,992.56

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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.