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Finding the Third Proportional to 608,571.75 and 946,045.13

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Solution

The third proportional to 608,571.75 and 946,045.13 is: 1,470,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,571.75 : 946,045.13 = 946,045.13 : x
  2. Step 2: Convert to fraction form
    608,571.75/946,045.13 = 946,045.13/x
  3. Step 3: Cross multiply
    608,571.75x = 946,045.13 × 946,045.13
  4. Step 4: Simplify right side
    608,571.75x = 895,001,378,536.27
  5. Step 5: Solve for x
    x = 895,001,378,536.27/608,571.75
  6. Step 6: Final answer
    x = 1,470,658.77

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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.