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Finding the Third Proportional to 367,009 and 808,523

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Solution

The third proportional to 367,009 and 808,523 is: 1,781,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,009 : 808,523 = 808,523 : x
  2. Step 2: Convert to fraction form
    367,009/808,523 = 808,523/x
  3. Step 3: Cross multiply
    367,009x = 808,523 × 808,523
  4. Step 4: Simplify right side
    367,009x = 653,709,441,529
  5. Step 5: Solve for x
    x = 653,709,441,529/367,009
  6. Step 6: Final answer
    x = 1,781,180.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.