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Finding the Third Proportional to 443,513.75 and 694,941.75

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Solution

The third proportional to 443,513.75 and 694,941.75 is: 1,088,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,513.75 : 694,941.75 = 694,941.75 : x
  2. Step 2: Convert to fraction form
    443,513.75/694,941.75 = 694,941.75/x
  3. Step 3: Cross multiply
    443,513.75x = 694,941.75 × 694,941.75
  4. Step 4: Simplify right side
    443,513.75x = 482,944,035,893.06
  5. Step 5: Solve for x
    x = 482,944,035,893.06/443,513.75
  6. Step 6: Final answer
    x = 1,088,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.