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Finding the Third Proportional to 461,796 and 694,038

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Solution

The third proportional to 461,796 and 694,038 is: 1,043,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,796 : 694,038 = 694,038 : x
  2. Step 2: Convert to fraction form
    461,796/694,038 = 694,038/x
  3. Step 3: Cross multiply
    461,796x = 694,038 × 694,038
  4. Step 4: Simplify right side
    461,796x = 481,688,745,444
  5. Step 5: Solve for x
    x = 481,688,745,444/461,796
  6. Step 6: Final answer
    x = 1,043,076.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.