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Finding the Third Proportional to 354,621.38 and 769,521.94

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Solution

The third proportional to 354,621.38 and 769,521.94 is: 1,669,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,621.38 : 769,521.94 = 769,521.94 : x
  2. Step 2: Convert to fraction form
    354,621.38/769,521.94 = 769,521.94/x
  3. Step 3: Cross multiply
    354,621.38x = 769,521.94 × 769,521.94
  4. Step 4: Simplify right side
    354,621.38x = 592,164,012,293.75
  5. Step 5: Solve for x
    x = 592,164,012,293.75/354,621.38
  6. Step 6: Final answer
    x = 1,669,848.62

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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.