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Finding the Third Proportional to 575,960 and 810,722

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Solution

The third proportional to 575,960 and 810,722 is: 1,141,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,960 : 810,722 = 810,722 : x
  2. Step 2: Convert to fraction form
    575,960/810,722 = 810,722/x
  3. Step 3: Cross multiply
    575,960x = 810,722 × 810,722
  4. Step 4: Simplify right side
    575,960x = 657,270,161,284
  5. Step 5: Solve for x
    x = 657,270,161,284/575,960
  6. Step 6: Final answer
    x = 1,141,173.28

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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.