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Finding the Third Proportional to 460,917 and 697,815

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Solution

The third proportional to 460,917 and 697,815 is: 1,056,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,917 : 697,815 = 697,815 : x
  2. Step 2: Convert to fraction form
    460,917/697,815 = 697,815/x
  3. Step 3: Cross multiply
    460,917x = 697,815 × 697,815
  4. Step 4: Simplify right side
    460,917x = 486,945,774,225
  5. Step 5: Solve for x
    x = 486,945,774,225/460,917
  6. Step 6: Final answer
    x = 1,056,471.72

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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.