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Finding the Third Proportional to 405,638.75 and 865,570.13

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Solution

The third proportional to 405,638.75 and 865,570.13 is: 1,846,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,638.75 : 865,570.13 = 865,570.13 : x
  2. Step 2: Convert to fraction form
    405,638.75/865,570.13 = 865,570.13/x
  3. Step 3: Cross multiply
    405,638.75x = 865,570.13 × 865,570.13
  4. Step 4: Simplify right side
    405,638.75x = 749,211,641,292.52
  5. Step 5: Solve for x
    x = 749,211,641,292.52/405,638.75
  6. Step 6: Final answer
    x = 1,846,992.28

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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.