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Finding the Third Proportional to 334,176 and 696,000

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Solution

The third proportional to 334,176 and 696,000 is: 1,449,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,176 : 696,000 = 696,000 : x
  2. Step 2: Convert to fraction form
    334,176/696,000 = 696,000/x
  3. Step 3: Cross multiply
    334,176x = 696,000 × 696,000
  4. Step 4: Simplify right side
    334,176x = 484,416,000,000
  5. Step 5: Solve for x
    x = 484,416,000,000/334,176
  6. Step 6: Final answer
    x = 1,449,583.45

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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.