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Finding the Third Proportional to 349,448 and 523,623

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Solution

The third proportional to 349,448 and 523,623 is: 784,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,448 : 523,623 = 523,623 : x
  2. Step 2: Convert to fraction form
    349,448/523,623 = 523,623/x
  3. Step 3: Cross multiply
    349,448x = 523,623 × 523,623
  4. Step 4: Simplify right side
    349,448x = 274,181,046,129
  5. Step 5: Solve for x
    x = 274,181,046,129/349,448
  6. Step 6: Final answer
    x = 784,611.86

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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.