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Finding the Third Proportional to 460,922 and 691,395

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Solution

The third proportional to 460,922 and 691,395 is: 1,037,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,922 : 691,395 = 691,395 : x
  2. Step 2: Convert to fraction form
    460,922/691,395 = 691,395/x
  3. Step 3: Cross multiply
    460,922x = 691,395 × 691,395
  4. Step 4: Simplify right side
    460,922x = 478,027,046,025
  5. Step 5: Solve for x
    x = 478,027,046,025/460,922
  6. Step 6: Final answer
    x = 1,037,110.50

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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.