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Finding the Third Proportional to 356,730 and 522,296

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Solution

The third proportional to 356,730 and 522,296 is: 764,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,730 : 522,296 = 522,296 : x
  2. Step 2: Convert to fraction form
    356,730/522,296 = 522,296/x
  3. Step 3: Cross multiply
    356,730x = 522,296 × 522,296
  4. Step 4: Simplify right side
    356,730x = 272,793,111,616
  5. Step 5: Solve for x
    x = 272,793,111,616/356,730
  6. Step 6: Final answer
    x = 764,704.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.