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Finding the Third Proportional to 334,124 and 482,751

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Solution

The third proportional to 334,124 and 482,751 is: 697,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,124 : 482,751 = 482,751 : x
  2. Step 2: Convert to fraction form
    334,124/482,751 = 482,751/x
  3. Step 3: Cross multiply
    334,124x = 482,751 × 482,751
  4. Step 4: Simplify right side
    334,124x = 233,048,528,001
  5. Step 5: Solve for x
    x = 233,048,528,001/334,124
  6. Step 6: Final answer
    x = 697,491.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.