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Finding the Third Proportional to 415,941.75 and 851,585.63

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Solution

The third proportional to 415,941.75 and 851,585.63 is: 1,743,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,941.75 : 851,585.63 = 851,585.63 : x
  2. Step 2: Convert to fraction form
    415,941.75/851,585.63 = 851,585.63/x
  3. Step 3: Cross multiply
    415,941.75x = 851,585.63 × 851,585.63
  4. Step 4: Simplify right side
    415,941.75x = 725,198,076,706.64
  5. Step 5: Solve for x
    x = 725,198,076,706.64/415,941.75
  6. Step 6: Final answer
    x = 1,743,508.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.