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Finding the Third Proportional to 349,620 and 524,238

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Solution

The third proportional to 349,620 and 524,238 is: 786,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,620 : 524,238 = 524,238 : x
  2. Step 2: Convert to fraction form
    349,620/524,238 = 524,238/x
  3. Step 3: Cross multiply
    349,620x = 524,238 × 524,238
  4. Step 4: Simplify right side
    349,620x = 274,825,480,644
  5. Step 5: Solve for x
    x = 274,825,480,644/349,620
  6. Step 6: Final answer
    x = 786,069.11

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Why These Related Problems?

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