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Finding the Third Proportional to 476,124 and 698,961

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Solution

The third proportional to 476,124 and 698,961 is: 1,026,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,124 : 698,961 = 698,961 : x
  2. Step 2: Convert to fraction form
    476,124/698,961 = 698,961/x
  3. Step 3: Cross multiply
    476,124x = 698,961 × 698,961
  4. Step 4: Simplify right side
    476,124x = 488,546,479,521
  5. Step 5: Solve for x
    x = 488,546,479,521/476,124
  6. Step 6: Final answer
    x = 1,026,090.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.