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Finding the Third Proportional to 644,899.50 and 946,435.50

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Solution

The third proportional to 644,899.50 and 946,435.50 is: 1,388,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,899.50 : 946,435.50 = 946,435.50 : x
  2. Step 2: Convert to fraction form
    644,899.50/946,435.50 = 946,435.50/x
  3. Step 3: Cross multiply
    644,899.50x = 946,435.50 × 946,435.50
  4. Step 4: Simplify right side
    644,899.50x = 895,740,155,660.25
  5. Step 5: Solve for x
    x = 895,740,155,660.25/644,899.50
  6. Step 6: Final answer
    x = 1,388,960.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.