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Finding the Third Proportional to 383,570.75 and 575,356.13

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Solution

The third proportional to 383,570.75 and 575,356.13 is: 863,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,570.75 : 575,356.13 = 575,356.13 : x
  2. Step 2: Convert to fraction form
    383,570.75/575,356.13 = 575,356.13/x
  3. Step 3: Cross multiply
    383,570.75x = 575,356.13 × 575,356.13
  4. Step 4: Simplify right side
    383,570.75x = 331,034,670,575.02
  5. Step 5: Solve for x
    x = 331,034,670,575.02/383,570.75
  6. Step 6: Final answer
    x = 863,034.19

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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.