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Finding the Third Proportional to 550,524 and 775,236

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Solution

The third proportional to 550,524 and 775,236 is: 1,091,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,524 : 775,236 = 775,236 : x
  2. Step 2: Convert to fraction form
    550,524/775,236 = 775,236/x
  3. Step 3: Cross multiply
    550,524x = 775,236 × 775,236
  4. Step 4: Simplify right side
    550,524x = 600,990,855,696
  5. Step 5: Solve for x
    x = 600,990,855,696/550,524
  6. Step 6: Final answer
    x = 1,091,670.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.