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Finding the Third Proportional to 334,092 and 482,706

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Solution

The third proportional to 334,092 and 482,706 is: 697,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,092 : 482,706 = 482,706 : x
  2. Step 2: Convert to fraction form
    334,092/482,706 = 482,706/x
  3. Step 3: Cross multiply
    334,092x = 482,706 × 482,706
  4. Step 4: Simplify right side
    334,092x = 233,005,082,436
  5. Step 5: Solve for x
    x = 233,005,082,436/334,092
  6. Step 6: Final answer
    x = 697,427.90

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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.