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Finding the Third Proportional to 464,388.75 and 948,457.13

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Solution

The third proportional to 464,388.75 and 948,457.13 is: 1,937,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,388.75 : 948,457.13 = 948,457.13 : x
  2. Step 2: Convert to fraction form
    464,388.75/948,457.13 = 948,457.13/x
  3. Step 3: Cross multiply
    464,388.75x = 948,457.13 × 948,457.13
  4. Step 4: Simplify right side
    464,388.75x = 899,570,917,963.27
  5. Step 5: Solve for x
    x = 899,570,917,963.27/464,388.75
  6. Step 6: Final answer
    x = 1,937,107.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.