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Finding the Third Proportional to 575,962 and 810,725

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Solution

The third proportional to 575,962 and 810,725 is: 1,141,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,962 : 810,725 = 810,725 : x
  2. Step 2: Convert to fraction form
    575,962/810,725 = 810,725/x
  3. Step 3: Cross multiply
    575,962x = 810,725 × 810,725
  4. Step 4: Simplify right side
    575,962x = 657,275,025,625
  5. Step 5: Solve for x
    x = 657,275,025,625/575,962
  6. Step 6: Final answer
    x = 1,141,177.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.