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Finding the Third Proportional to 406,383.75 and 624,863.25

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Solution

The third proportional to 406,383.75 and 624,863.25 is: 960,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,383.75 : 624,863.25 = 624,863.25 : x
  2. Step 2: Convert to fraction form
    406,383.75/624,863.25 = 624,863.25/x
  3. Step 3: Cross multiply
    406,383.75x = 624,863.25 × 624,863.25
  4. Step 4: Simplify right side
    406,383.75x = 390,454,081,200.56
  5. Step 5: Solve for x
    x = 390,454,081,200.56/406,383.75
  6. Step 6: Final answer
    x = 960,801.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.