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Finding the Third Proportional to 579,567 and 852,584

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Solution

The third proportional to 579,567 and 852,584 is: 1,254,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,567 : 852,584 = 852,584 : x
  2. Step 2: Convert to fraction form
    579,567/852,584 = 852,584/x
  3. Step 3: Cross multiply
    579,567x = 852,584 × 852,584
  4. Step 4: Simplify right side
    579,567x = 726,899,477,056
  5. Step 5: Solve for x
    x = 726,899,477,056/579,567
  6. Step 6: Final answer
    x = 1,254,211.29

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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.