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Finding the Third Proportional to 270,780.07 and 421,697.09

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Solution

The third proportional to 270,780.07 and 421,697.09 is: 656,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,780.07 : 421,697.09 = 421,697.09 : x
  2. Step 2: Convert to fraction form
    270,780.07/421,697.09 = 421,697.09/x
  3. Step 3: Cross multiply
    270,780.07x = 421,697.09 × 421,697.09
  4. Step 4: Simplify right side
    270,780.07x = 177,828,434,913.50
  5. Step 5: Solve for x
    x = 177,828,434,913.50/270,780.07
  6. Step 6: Final answer
    x = 656,726.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.