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Finding the Third Proportional to 522,852 and 782,196

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Solution

The third proportional to 522,852 and 782,196 is: 1,170,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,852 : 782,196 = 782,196 : x
  2. Step 2: Convert to fraction form
    522,852/782,196 = 782,196/x
  3. Step 3: Cross multiply
    522,852x = 782,196 × 782,196
  4. Step 4: Simplify right side
    522,852x = 611,830,582,416
  5. Step 5: Solve for x
    x = 611,830,582,416/522,852
  6. Step 6: Final answer
    x = 1,170,179.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.