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Finding the Third Proportional to 368,342 and 806,950

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Solution

The third proportional to 368,342 and 806,950 is: 1,767,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,342 : 806,950 = 806,950 : x
  2. Step 2: Convert to fraction form
    368,342/806,950 = 806,950/x
  3. Step 3: Cross multiply
    368,342x = 806,950 × 806,950
  4. Step 4: Simplify right side
    368,342x = 651,168,302,500
  5. Step 5: Solve for x
    x = 651,168,302,500/368,342
  6. Step 6: Final answer
    x = 1,767,836.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.