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Finding the Third Proportional to 280,515 and 608,051

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Solution

The third proportional to 280,515 and 608,051 is: 1,318,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,515 : 608,051 = 608,051 : x
  2. Step 2: Convert to fraction form
    280,515/608,051 = 608,051/x
  3. Step 3: Cross multiply
    280,515x = 608,051 × 608,051
  4. Step 4: Simplify right side
    280,515x = 369,726,018,601
  5. Step 5: Solve for x
    x = 369,726,018,601/280,515
  6. Step 6: Final answer
    x = 1,318,025.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.