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Finding the Third Proportional to 370,412 and 808,126

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Solution

The third proportional to 370,412 and 808,126 is: 1,763,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,412 : 808,126 = 808,126 : x
  2. Step 2: Convert to fraction form
    370,412/808,126 = 808,126/x
  3. Step 3: Cross multiply
    370,412x = 808,126 × 808,126
  4. Step 4: Simplify right side
    370,412x = 653,067,631,876
  5. Step 5: Solve for x
    x = 653,067,631,876/370,412
  6. Step 6: Final answer
    x = 1,763,084.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.