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Finding the Third Proportional to 285,223 and 610,937

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Solution

The third proportional to 285,223 and 610,937 is: 1,308,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223 : 610,937 = 610,937 : x
  2. Step 2: Convert to fraction form
    285,223/610,937 = 610,937/x
  3. Step 3: Cross multiply
    285,223x = 610,937 × 610,937
  4. Step 4: Simplify right side
    285,223x = 373,244,017,969
  5. Step 5: Solve for x
    x = 373,244,017,969/285,223
  6. Step 6: Final answer
    x = 1,308,604.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.