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Finding the Third Proportional to 300,057.75 and 651,628.13

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Solution

The third proportional to 300,057.75 and 651,628.13 is: 1,415,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,057.75 : 651,628.13 = 651,628.13 : x
  2. Step 2: Convert to fraction form
    300,057.75/651,628.13 = 651,628.13/x
  3. Step 3: Cross multiply
    300,057.75x = 651,628.13 × 651,628.13
  4. Step 4: Simplify right side
    300,057.75x = 424,619,213,291.02
  5. Step 5: Solve for x
    x = 424,619,213,291.02/300,057.75
  6. Step 6: Final answer
    x = 1,415,124.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.