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Finding the Third Proportional to 334,138 and 482,772

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Solution

The third proportional to 334,138 and 482,772 is: 697,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,138 : 482,772 = 482,772 : x
  2. Step 2: Convert to fraction form
    334,138/482,772 = 482,772/x
  3. Step 3: Cross multiply
    334,138x = 482,772 × 482,772
  4. Step 4: Simplify right side
    334,138x = 233,068,803,984
  5. Step 5: Solve for x
    x = 233,068,803,984/334,138
  6. Step 6: Final answer
    x = 697,522.59

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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.