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Finding the Third Proportional to 399,195.84 and 865,773.29

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Solution

The third proportional to 399,195.84 and 865,773.29 is: 1,877,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,195.84 : 865,773.29 = 865,773.29 : x
  2. Step 2: Convert to fraction form
    399,195.84/865,773.29 = 865,773.29/x
  3. Step 3: Cross multiply
    399,195.84x = 865,773.29 × 865,773.29
  4. Step 4: Simplify right side
    399,195.84x = 749,563,382,135.76
  5. Step 5: Solve for x
    x = 749,563,382,135.76/399,195.84
  6. Step 6: Final answer
    x = 1,877,683.33

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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.