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Finding the Third Proportional to 348,921 and 523,368

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Solution

The third proportional to 348,921 and 523,368 is: 785,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,921 : 523,368 = 523,368 : x
  2. Step 2: Convert to fraction form
    348,921/523,368 = 523,368/x
  3. Step 3: Cross multiply
    348,921x = 523,368 × 523,368
  4. Step 4: Simplify right side
    348,921x = 273,914,063,424
  5. Step 5: Solve for x
    x = 273,914,063,424/348,921
  6. Step 6: Final answer
    x = 785,031.75

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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.