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Finding the Third Proportional to 575,978 and 810,750

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Solution

The third proportional to 575,978 and 810,750 is: 1,141,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,978 : 810,750 = 810,750 : x
  2. Step 2: Convert to fraction form
    575,978/810,750 = 810,750/x
  3. Step 3: Cross multiply
    575,978x = 810,750 × 810,750
  4. Step 4: Simplify right side
    575,978x = 657,315,562,500
  5. Step 5: Solve for x
    x = 657,315,562,500/575,978
  6. Step 6: Final answer
    x = 1,141,216.44

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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.