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Finding the Third Proportional to 294,154.35 and 454,532.92

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Solution

The third proportional to 294,154.35 and 454,532.92 is: 702,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,154.35 : 454,532.92 = 454,532.92 : x
  2. Step 2: Convert to fraction form
    294,154.35/454,532.92 = 454,532.92/x
  3. Step 3: Cross multiply
    294,154.35x = 454,532.92 × 454,532.92
  4. Step 4: Simplify right side
    294,154.35x = 206,600,178,843.76
  5. Step 5: Solve for x
    x = 206,600,178,843.76/294,154.35
  6. Step 6: Final answer
    x = 702,352.97

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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.