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Finding the Third Proportional to 575,972 and 810,741

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Solution

The third proportional to 575,972 and 810,741 is: 1,141,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,972 : 810,741 = 810,741 : x
  2. Step 2: Convert to fraction form
    575,972/810,741 = 810,741/x
  3. Step 3: Cross multiply
    575,972x = 810,741 × 810,741
  4. Step 4: Simplify right side
    575,972x = 657,300,969,081
  5. Step 5: Solve for x
    x = 657,300,969,081/575,972
  6. Step 6: Final answer
    x = 1,141,202.99

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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.