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Finding the Third Proportional to 474,913.13 and 790,008.19

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Solution

The third proportional to 474,913.13 and 790,008.19 is: 1,314,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,913.13 : 790,008.19 = 790,008.19 : x
  2. Step 2: Convert to fraction form
    474,913.13/790,008.19 = 790,008.19/x
  3. Step 3: Cross multiply
    474,913.13x = 790,008.19 × 790,008.19
  4. Step 4: Simplify right side
    474,913.13x = 624,112,936,317.04
  5. Step 5: Solve for x
    x = 624,112,936,317.04/474,913.13
  6. Step 6: Final answer
    x = 1,314,162.32

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.