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Finding the Third Proportional to 337,534.88 and 796,782.38

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Solution

The third proportional to 337,534.88 and 796,782.38 is: 1,880,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,534.88 : 796,782.38 = 796,782.38 : x
  2. Step 2: Convert to fraction form
    337,534.88/796,782.38 = 796,782.38/x
  3. Step 3: Cross multiply
    337,534.88x = 796,782.38 × 796,782.38
  4. Step 4: Simplify right side
    337,534.88x = 634,862,153,110.64
  5. Step 5: Solve for x
    x = 634,862,153,110.64/337,534.88
  6. Step 6: Final answer
    x = 1,880,878.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.