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Finding the Third Proportional to 383,710.50 and 575,565.75

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Solution

The third proportional to 383,710.50 and 575,565.75 is: 863,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,710.50 : 575,565.75 = 575,565.75 : x
  2. Step 2: Convert to fraction form
    383,710.50/575,565.75 = 575,565.75/x
  3. Step 3: Cross multiply
    383,710.50x = 575,565.75 × 575,565.75
  4. Step 4: Simplify right side
    383,710.50x = 331,275,932,573.06
  5. Step 5: Solve for x
    x = 331,275,932,573.06/383,710.50
  6. Step 6: Final answer
    x = 863,348.63

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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.