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Finding the Third Proportional to 393,768.75 and 610,863.75

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Solution

The third proportional to 393,768.75 and 610,863.75 is: 947,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,768.75 : 610,863.75 = 610,863.75 : x
  2. Step 2: Convert to fraction form
    393,768.75/610,863.75 = 610,863.75/x
  3. Step 3: Cross multiply
    393,768.75x = 610,863.75 × 610,863.75
  4. Step 4: Simplify right side
    393,768.75x = 373,154,521,064.06
  5. Step 5: Solve for x
    x = 373,154,521,064.06/393,768.75
  6. Step 6: Final answer
    x = 947,648.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.