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Finding the Third Proportional to 579,548 and 851,956

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Solution

The third proportional to 579,548 and 851,956 is: 1,252,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,548 : 851,956 = 851,956 : x
  2. Step 2: Convert to fraction form
    579,548/851,956 = 851,956/x
  3. Step 3: Cross multiply
    579,548x = 851,956 × 851,956
  4. Step 4: Simplify right side
    579,548x = 725,829,025,936
  5. Step 5: Solve for x
    x = 725,829,025,936/579,548
  6. Step 6: Final answer
    x = 1,252,405.37

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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.