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Finding the Third Proportional to 335,348 and 523,436

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Solution

The third proportional to 335,348 and 523,436 is: 817,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,348 : 523,436 = 523,436 : x
  2. Step 2: Convert to fraction form
    335,348/523,436 = 523,436/x
  3. Step 3: Cross multiply
    335,348x = 523,436 × 523,436
  4. Step 4: Simplify right side
    335,348x = 273,985,246,096
  5. Step 5: Solve for x
    x = 273,985,246,096/335,348
  6. Step 6: Final answer
    x = 817,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.