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Finding the Third Proportional to 387,765 and 820,239.75

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Solution

The third proportional to 387,765 and 820,239.75 is: 1,735,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,765 : 820,239.75 = 820,239.75 : x
  2. Step 2: Convert to fraction form
    387,765/820,239.75 = 820,239.75/x
  3. Step 3: Cross multiply
    387,765x = 820,239.75 × 820,239.75
  4. Step 4: Simplify right side
    387,765x = 672,793,247,480.06
  5. Step 5: Solve for x
    x = 672,793,247,480.06/387,765
  6. Step 6: Final answer
    x = 1,735,054.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.