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Finding the Third Proportional to 437,976 and 575,100

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Solution

The third proportional to 437,976 and 575,100 is: 755,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,976 : 575,100 = 575,100 : x
  2. Step 2: Convert to fraction form
    437,976/575,100 = 575,100/x
  3. Step 3: Cross multiply
    437,976x = 575,100 × 575,100
  4. Step 4: Simplify right side
    437,976x = 330,740,010,000
  5. Step 5: Solve for x
    x = 330,740,010,000/437,976
  6. Step 6: Final answer
    x = 755,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.