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Finding the Third Proportional to 336,371 and 505,974

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Solution

The third proportional to 336,371 and 505,974 is: 761,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,371 : 505,974 = 505,974 : x
  2. Step 2: Convert to fraction form
    336,371/505,974 = 505,974/x
  3. Step 3: Cross multiply
    336,371x = 505,974 × 505,974
  4. Step 4: Simplify right side
    336,371x = 256,009,688,676
  5. Step 5: Solve for x
    x = 256,009,688,676/336,371
  6. Step 6: Final answer
    x = 761,093.22

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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.