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Finding the Third Proportional to 345,975.05 and 486,996.19

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Solution

The third proportional to 345,975.05 and 486,996.19 is: 685,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,975.05 : 486,996.19 = 486,996.19 : x
  2. Step 2: Convert to fraction form
    345,975.05/486,996.19 = 486,996.19/x
  3. Step 3: Cross multiply
    345,975.05x = 486,996.19 × 486,996.19
  4. Step 4: Simplify right side
    345,975.05x = 237,165,286,639.54
  5. Step 5: Solve for x
    x = 237,165,286,639.54/345,975.05
  6. Step 6: Final answer
    x = 685,498.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.