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Finding the Third Proportional to 336,881 and 492,757

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Solution

The third proportional to 336,881 and 492,757 is: 720,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,881 : 492,757 = 492,757 : x
  2. Step 2: Convert to fraction form
    336,881/492,757 = 492,757/x
  3. Step 3: Cross multiply
    336,881x = 492,757 × 492,757
  4. Step 4: Simplify right side
    336,881x = 242,809,461,049
  5. Step 5: Solve for x
    x = 242,809,461,049/336,881
  6. Step 6: Final answer
    x = 720,757.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.