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Finding the Third Proportional to 347,872 and 522,584

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Solution

The third proportional to 347,872 and 522,584 is: 785,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,872 : 522,584 = 522,584 : x
  2. Step 2: Convert to fraction form
    347,872/522,584 = 522,584/x
  3. Step 3: Cross multiply
    347,872x = 522,584 × 522,584
  4. Step 4: Simplify right side
    347,872x = 273,094,037,056
  5. Step 5: Solve for x
    x = 273,094,037,056/347,872
  6. Step 6: Final answer
    x = 785,041.73

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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.