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Finding the Third Proportional to 459,285.75 and 997,439.63

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Solution

The third proportional to 459,285.75 and 997,439.63 is: 2,166,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,285.75 : 997,439.63 = 997,439.63 : x
  2. Step 2: Convert to fraction form
    459,285.75/997,439.63 = 997,439.63/x
  3. Step 3: Cross multiply
    459,285.75x = 997,439.63 × 997,439.63
  4. Step 4: Simplify right side
    459,285.75x = 994,885,805,520.14
  5. Step 5: Solve for x
    x = 994,885,805,520.14/459,285.75
  6. Step 6: Final answer
    x = 2,166,158.66

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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.