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Finding the Third Proportional to 350,927 and 524,052

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Solution

The third proportional to 350,927 and 524,052 is: 782,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,927 : 524,052 = 524,052 : x
  2. Step 2: Convert to fraction form
    350,927/524,052 = 524,052/x
  3. Step 3: Cross multiply
    350,927x = 524,052 × 524,052
  4. Step 4: Simplify right side
    350,927x = 274,630,498,704
  5. Step 5: Solve for x
    x = 274,630,498,704/350,927
  6. Step 6: Final answer
    x = 782,585.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.