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Finding the Third Proportional to 368,396 and 793,466

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Solution

The third proportional to 368,396 and 793,466 is: 1,708,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,396 : 793,466 = 793,466 : x
  2. Step 2: Convert to fraction form
    368,396/793,466 = 793,466/x
  3. Step 3: Cross multiply
    368,396x = 793,466 × 793,466
  4. Step 4: Simplify right side
    368,396x = 629,588,293,156
  5. Step 5: Solve for x
    x = 629,588,293,156/368,396
  6. Step 6: Final answer
    x = 1,708,998.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.