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Finding the Third Proportional to 334,096 and 482,712

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Solution

The third proportional to 334,096 and 482,712 is: 697,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,096 : 482,712 = 482,712 : x
  2. Step 2: Convert to fraction form
    334,096/482,712 = 482,712/x
  3. Step 3: Cross multiply
    334,096x = 482,712 × 482,712
  4. Step 4: Simplify right side
    334,096x = 233,010,874,944
  5. Step 5: Solve for x
    x = 233,010,874,944/334,096
  6. Step 6: Final answer
    x = 697,436.89

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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.