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Finding the Third Proportional to 349,440 and 523,612

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Solution

The third proportional to 349,440 and 523,612 is: 784,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,440 : 523,612 = 523,612 : x
  2. Step 2: Convert to fraction form
    349,440/523,612 = 523,612/x
  3. Step 3: Cross multiply
    349,440x = 523,612 × 523,612
  4. Step 4: Simplify right side
    349,440x = 274,169,526,544
  5. Step 5: Solve for x
    x = 274,169,526,544/349,440
  6. Step 6: Final answer
    x = 784,596.86

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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.