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Finding the Third Proportional to 305,910 and 460,716

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Solution

The third proportional to 305,910 and 460,716 is: 693,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910 : 460,716 = 460,716 : x
  2. Step 2: Convert to fraction form
    305,910/460,716 = 460,716/x
  3. Step 3: Cross multiply
    305,910x = 460,716 × 460,716
  4. Step 4: Simplify right side
    305,910x = 212,259,232,656
  5. Step 5: Solve for x
    x = 212,259,232,656/305,910
  6. Step 6: Final answer
    x = 693,861.70

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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.