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Finding the Third Proportional to 334,099 and 482,716

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Solution

The third proportional to 334,099 and 482,716 is: 697,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,099 : 482,716 = 482,716 : x
  2. Step 2: Convert to fraction form
    334,099/482,716 = 482,716/x
  3. Step 3: Cross multiply
    334,099x = 482,716 × 482,716
  4. Step 4: Simplify right side
    334,099x = 233,014,736,656
  5. Step 5: Solve for x
    x = 233,014,736,656/334,099
  6. Step 6: Final answer
    x = 697,442.19

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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.