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Finding the Third Proportional to 354,134.25 and 758,754

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Solution

The third proportional to 354,134.25 and 758,754 is: 1,625,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,134.25 : 758,754 = 758,754 : x
  2. Step 2: Convert to fraction form
    354,134.25/758,754 = 758,754/x
  3. Step 3: Cross multiply
    354,134.25x = 758,754 × 758,754
  4. Step 4: Simplify right side
    354,134.25x = 575,707,632,516
  5. Step 5: Solve for x
    x = 575,707,632,516/354,134.25
  6. Step 6: Final answer
    x = 1,625,676.23

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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.