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Finding the Third Proportional to 405,640.50 and 865,573.50

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Solution

The third proportional to 405,640.50 and 865,573.50 is: 1,846,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,640.50 : 865,573.50 = 865,573.50 : x
  2. Step 2: Convert to fraction form
    405,640.50/865,573.50 = 865,573.50/x
  3. Step 3: Cross multiply
    405,640.50x = 865,573.50 × 865,573.50
  4. Step 4: Simplify right side
    405,640.50x = 749,217,483,902.25
  5. Step 5: Solve for x
    x = 749,217,483,902.25/405,640.50
  6. Step 6: Final answer
    x = 1,846,998.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.