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Finding the Third Proportional to 399,302.53 and 865,976.81

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Solution

The third proportional to 399,302.53 and 865,976.81 is: 1,878,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,302.53 : 865,976.81 = 865,976.81 : x
  2. Step 2: Convert to fraction form
    399,302.53/865,976.81 = 865,976.81/x
  3. Step 3: Cross multiply
    399,302.53x = 865,976.81 × 865,976.81
  4. Step 4: Simplify right side
    399,302.53x = 749,915,839,787.66
  5. Step 5: Solve for x
    x = 749,915,839,787.66/399,302.53
  6. Step 6: Final answer
    x = 1,878,064.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.