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Finding the Third Proportional to 334,476 and 696,648

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Solution

The third proportional to 334,476 and 696,648 is: 1,450,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,476 : 696,648 = 696,648 : x
  2. Step 2: Convert to fraction form
    334,476/696,648 = 696,648/x
  3. Step 3: Cross multiply
    334,476x = 696,648 × 696,648
  4. Step 4: Simplify right side
    334,476x = 485,318,435,904
  5. Step 5: Solve for x
    x = 485,318,435,904/334,476
  6. Step 6: Final answer
    x = 1,450,981.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.