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Finding the Third Proportional to 462,775 and 699,094

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Solution

The third proportional to 462,775 and 699,094 is: 1,056,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,775 : 699,094 = 699,094 : x
  2. Step 2: Convert to fraction form
    462,775/699,094 = 699,094/x
  3. Step 3: Cross multiply
    462,775x = 699,094 × 699,094
  4. Step 4: Simplify right side
    462,775x = 488,732,420,836
  5. Step 5: Solve for x
    x = 488,732,420,836/462,775
  6. Step 6: Final answer
    x = 1,056,090.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.