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Finding the Third Proportional to 569,866 and 879,471

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Solution

The third proportional to 569,866 and 879,471 is: 1,357,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,866 : 879,471 = 879,471 : x
  2. Step 2: Convert to fraction form
    569,866/879,471 = 879,471/x
  3. Step 3: Cross multiply
    569,866x = 879,471 × 879,471
  4. Step 4: Simplify right side
    569,866x = 773,469,239,841
  5. Step 5: Solve for x
    x = 773,469,239,841/569,866
  6. Step 6: Final answer
    x = 1,357,282.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.