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Finding the Third Proportional to 308,520 and 466,068

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Solution

The third proportional to 308,520 and 466,068 is: 704,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,520 : 466,068 = 466,068 : x
  2. Step 2: Convert to fraction form
    308,520/466,068 = 466,068/x
  3. Step 3: Cross multiply
    308,520x = 466,068 × 466,068
  4. Step 4: Simplify right side
    308,520x = 217,219,380,624
  5. Step 5: Solve for x
    x = 217,219,380,624/308,520
  6. Step 6: Final answer
    x = 704,069.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.