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Finding the Third Proportional to 370,410.31 and 808,122.13

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Solution

The third proportional to 370,410.31 and 808,122.13 is: 1,763,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,410.31 : 808,122.13 = 808,122.13 : x
  2. Step 2: Convert to fraction form
    370,410.31/808,122.13 = 808,122.13/x
  3. Step 3: Cross multiply
    370,410.31x = 808,122.13 × 808,122.13
  4. Step 4: Simplify right side
    370,410.31x = 653,061,375,227.97
  5. Step 5: Solve for x
    x = 653,061,375,227.97/370,410.31
  6. Step 6: Final answer
    x = 1,763,075.59

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