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Finding the Third Proportional to 294,187.15 and 454,593.94

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Solution

The third proportional to 294,187.15 and 454,593.94 is: 702,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,187.15 : 454,593.94 = 454,593.94 : x
  2. Step 2: Convert to fraction form
    294,187.15/454,593.94 = 454,593.94/x
  3. Step 3: Cross multiply
    294,187.15x = 454,593.94 × 454,593.94
  4. Step 4: Simplify right side
    294,187.15x = 206,655,648,011.75
  5. Step 5: Solve for x
    x = 206,655,648,011.75/294,187.15
  6. Step 6: Final answer
    x = 702,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.