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Finding the Third Proportional to 395,288 and 864,388

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Solution

The third proportional to 395,288 and 864,388 is: 1,890,182.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,288 : 864,388 = 864,388 : x
  2. Step 2: Convert to fraction form
    395,288/864,388 = 864,388/x
  3. Step 3: Cross multiply
    395,288x = 864,388 × 864,388
  4. Step 4: Simplify right side
    395,288x = 747,166,614,544
  5. Step 5: Solve for x
    x = 747,166,614,544/395,288
  6. Step 6: Final answer
    x = 1,890,182.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.