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Finding the Third Proportional to 233,380.13 and 475,328.25

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Solution

The third proportional to 233,380.13 and 475,328.25 is: 968,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,380.13 : 475,328.25 = 475,328.25 : x
  2. Step 2: Convert to fraction form
    233,380.13/475,328.25 = 475,328.25/x
  3. Step 3: Cross multiply
    233,380.13x = 475,328.25 × 475,328.25
  4. Step 4: Simplify right side
    233,380.13x = 225,936,945,248.06
  5. Step 5: Solve for x
    x = 225,936,945,248.06/233,380.13
  6. Step 6: Final answer
    x = 968,107.05

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Why These Related Problems?

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