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Finding the Third Proportional to 575,968 and 810,734

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Solution

The third proportional to 575,968 and 810,734 is: 1,141,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,968 : 810,734 = 810,734 : x
  2. Step 2: Convert to fraction form
    575,968/810,734 = 810,734/x
  3. Step 3: Cross multiply
    575,968x = 810,734 × 810,734
  4. Step 4: Simplify right side
    575,968x = 657,289,618,756
  5. Step 5: Solve for x
    x = 657,289,618,756/575,968
  6. Step 6: Final answer
    x = 1,141,191.21

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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.