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Finding the Third Proportional to 383,578.88 and 575,368.31

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Solution

The third proportional to 383,578.88 and 575,368.31 is: 863,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,578.88 : 575,368.31 = 575,368.31 : x
  2. Step 2: Convert to fraction form
    383,578.88/575,368.31 = 575,368.31/x
  3. Step 3: Cross multiply
    383,578.88x = 575,368.31 × 575,368.31
  4. Step 4: Simplify right side
    383,578.88x = 331,048,695,029.10
  5. Step 5: Solve for x
    x = 331,048,695,029.10/383,578.88
  6. Step 6: Final answer
    x = 863,052.47

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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.