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Finding the Third Proportional to 608,502.38 and 945,923.06

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Solution

The third proportional to 608,502.38 and 945,923.06 is: 1,470,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,502.38 : 945,923.06 = 945,923.06 : x
  2. Step 2: Convert to fraction form
    608,502.38/945,923.06 = 945,923.06/x
  3. Step 3: Cross multiply
    608,502.38x = 945,923.06 × 945,923.06
  4. Step 4: Simplify right side
    608,502.38x = 894,770,440,169.38
  5. Step 5: Solve for x
    x = 894,770,440,169.38/608,502.38
  6. Step 6: Final answer
    x = 1,470,446.92

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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.