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Finding the Third Proportional to 311,064 and 460,032

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Solution

The third proportional to 311,064 and 460,032 is: 680,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,064 : 460,032 = 460,032 : x
  2. Step 2: Convert to fraction form
    311,064/460,032 = 460,032/x
  3. Step 3: Cross multiply
    311,064x = 460,032 × 460,032
  4. Step 4: Simplify right side
    311,064x = 211,629,441,024
  5. Step 5: Solve for x
    x = 211,629,441,024/311,064
  6. Step 6: Final answer
    x = 680,340.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.