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Finding the Third Proportional to 349,335 and 527,322

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Solution

The third proportional to 349,335 and 527,322 is: 795,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,335 : 527,322 = 527,322 : x
  2. Step 2: Convert to fraction form
    349,335/527,322 = 527,322/x
  3. Step 3: Cross multiply
    349,335x = 527,322 × 527,322
  4. Step 4: Simplify right side
    349,335x = 278,068,491,684
  5. Step 5: Solve for x
    x = 278,068,491,684/349,335
  6. Step 6: Final answer
    x = 795,993.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.