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Finding the Third Proportional to 284,583 and 606,036

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Solution

The third proportional to 284,583 and 606,036 is: 1,290,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,583 : 606,036 = 606,036 : x
  2. Step 2: Convert to fraction form
    284,583/606,036 = 606,036/x
  3. Step 3: Cross multiply
    284,583x = 606,036 × 606,036
  4. Step 4: Simplify right side
    284,583x = 367,279,633,296
  5. Step 5: Solve for x
    x = 367,279,633,296/284,583
  6. Step 6: Final answer
    x = 1,290,588.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.