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Finding the Third Proportional to 397,353.94 and 865,643.63

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Solution

The third proportional to 397,353.94 and 865,643.63 is: 1,885,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,353.94 : 865,643.63 = 865,643.63 : x
  2. Step 2: Convert to fraction form
    397,353.94/865,643.63 = 865,643.63/x
  3. Step 3: Cross multiply
    397,353.94x = 865,643.63 × 865,643.63
  4. Step 4: Simplify right side
    397,353.94x = 749,338,885,503.14
  5. Step 5: Solve for x
    x = 749,338,885,503.14/397,353.94
  6. Step 6: Final answer
    x = 1,885,822.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.