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Finding the Third Proportional to 284,740 and 595,662

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Solution

The third proportional to 284,740 and 595,662 is: 1,246,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,740 : 595,662 = 595,662 : x
  2. Step 2: Convert to fraction form
    284,740/595,662 = 595,662/x
  3. Step 3: Cross multiply
    284,740x = 595,662 × 595,662
  4. Step 4: Simplify right side
    284,740x = 354,813,218,244
  5. Step 5: Solve for x
    x = 354,813,218,244/284,740
  6. Step 6: Final answer
    x = 1,246,095.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.