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Finding the Third Proportional to 336,766 and 533,157

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Solution

The third proportional to 336,766 and 533,157 is: 844,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,766 : 533,157 = 533,157 : x
  2. Step 2: Convert to fraction form
    336,766/533,157 = 533,157/x
  3. Step 3: Cross multiply
    336,766x = 533,157 × 533,157
  4. Step 4: Simplify right side
    336,766x = 284,256,386,649
  5. Step 5: Solve for x
    x = 284,256,386,649/336,766
  6. Step 6: Final answer
    x = 844,076.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.