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Finding the Third Proportional to 575,930.25 and 775,320.75

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Solution

The third proportional to 575,930.25 and 775,320.75 is: 1,043,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,930.25 : 775,320.75 = 775,320.75 : x
  2. Step 2: Convert to fraction form
    575,930.25/775,320.75 = 775,320.75/x
  3. Step 3: Cross multiply
    575,930.25x = 775,320.75 × 775,320.75
  4. Step 4: Simplify right side
    575,930.25x = 601,122,265,380.56
  5. Step 5: Solve for x
    x = 601,122,265,380.56/575,930.25
  6. Step 6: Final answer
    x = 1,043,741.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.