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Finding the Third Proportional to 383,573.25 and 575,360.25

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Solution

The third proportional to 383,573.25 and 575,360.25 is: 863,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,573.25 : 575,360.25 = 575,360.25 : x
  2. Step 2: Convert to fraction form
    383,573.25/575,360.25 = 575,360.25/x
  3. Step 3: Cross multiply
    383,573.25x = 575,360.25 × 575,360.25
  4. Step 4: Simplify right side
    383,573.25x = 331,039,417,280.06
  5. Step 5: Solve for x
    x = 331,039,417,280.06/383,573.25
  6. Step 6: Final answer
    x = 863,040.94

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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.