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Finding the Third Proportional to 280,399 and 608,123

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Solution

The third proportional to 280,399 and 608,123 is: 1,318,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,399 : 608,123 = 608,123 : x
  2. Step 2: Convert to fraction form
    280,399/608,123 = 608,123/x
  3. Step 3: Cross multiply
    280,399x = 608,123 × 608,123
  4. Step 4: Simplify right side
    280,399x = 369,813,583,129
  5. Step 5: Solve for x
    x = 369,813,583,129/280,399
  6. Step 6: Final answer
    x = 1,318,883.39

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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.