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Finding the Third Proportional to 459,756 and 613,602

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Solution

The third proportional to 459,756 and 613,602 is: 818,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,756 : 613,602 = 613,602 : x
  2. Step 2: Convert to fraction form
    459,756/613,602 = 613,602/x
  3. Step 3: Cross multiply
    459,756x = 613,602 × 613,602
  4. Step 4: Simplify right side
    459,756x = 376,507,414,404
  5. Step 5: Solve for x
    x = 376,507,414,404/459,756
  6. Step 6: Final answer
    x = 818,928.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.