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Finding the Third Proportional to 363,348 and 782,226

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Solution

The third proportional to 363,348 and 782,226 is: 1,683,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,348 : 782,226 = 782,226 : x
  2. Step 2: Convert to fraction form
    363,348/782,226 = 782,226/x
  3. Step 3: Cross multiply
    363,348x = 782,226 × 782,226
  4. Step 4: Simplify right side
    363,348x = 611,877,515,076
  5. Step 5: Solve for x
    x = 611,877,515,076/363,348
  6. Step 6: Final answer
    x = 1,683,998.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.