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Finding the Third Proportional to 579,600 and 852,075

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Solution

The third proportional to 579,600 and 852,075 is: 1,252,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,600 : 852,075 = 852,075 : x
  2. Step 2: Convert to fraction form
    579,600/852,075 = 852,075/x
  3. Step 3: Cross multiply
    579,600x = 852,075 × 852,075
  4. Step 4: Simplify right side
    579,600x = 726,031,805,625
  5. Step 5: Solve for x
    x = 726,031,805,625/579,600
  6. Step 6: Final answer
    x = 1,252,642.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.