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Finding the Third Proportional to 509,215.13 and 751,900.13

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Solution

The third proportional to 509,215.13 and 751,900.13 is: 1,110,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,215.13 : 751,900.13 = 751,900.13 : x
  2. Step 2: Convert to fraction form
    509,215.13/751,900.13 = 751,900.13/x
  3. Step 3: Cross multiply
    509,215.13x = 751,900.13 × 751,900.13
  4. Step 4: Simplify right side
    509,215.13x = 565,353,797,975.02
  5. Step 5: Solve for x
    x = 565,353,797,975.02/509,215.13
  6. Step 6: Final answer
    x = 1,110,245.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.