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Finding the Third Proportional to 378,654 and 810,509.75

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Solution

The third proportional to 378,654 and 810,509.75 is: 1,734,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,654 : 810,509.75 = 810,509.75 : x
  2. Step 2: Convert to fraction form
    378,654/810,509.75 = 810,509.75/x
  3. Step 3: Cross multiply
    378,654x = 810,509.75 × 810,509.75
  4. Step 4: Simplify right side
    378,654x = 656,926,054,845.06
  5. Step 5: Solve for x
    x = 656,926,054,845.06/378,654
  6. Step 6: Final answer
    x = 1,734,897.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.