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Finding the Third Proportional to 575,970 and 810,738

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Solution

The third proportional to 575,970 and 810,738 is: 1,141,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,970 : 810,738 = 810,738 : x
  2. Step 2: Convert to fraction form
    575,970/810,738 = 810,738/x
  3. Step 3: Cross multiply
    575,970x = 810,738 × 810,738
  4. Step 4: Simplify right side
    575,970x = 657,296,104,644
  5. Step 5: Solve for x
    x = 657,296,104,644/575,970
  6. Step 6: Final answer
    x = 1,141,198.51

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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.