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Finding the Third Proportional to 579,602 and 852,078

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Solution

The third proportional to 579,602 and 852,078 is: 1,252,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,602 : 852,078 = 852,078 : x
  2. Step 2: Convert to fraction form
    579,602/852,078 = 852,078/x
  3. Step 3: Cross multiply
    579,602x = 852,078 × 852,078
  4. Step 4: Simplify right side
    579,602x = 726,036,918,084
  5. Step 5: Solve for x
    x = 726,036,918,084/579,602
  6. Step 6: Final answer
    x = 1,252,647.37

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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.