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Finding the Third Proportional to 254,590 and 560,006

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Solution

The third proportional to 254,590 and 560,006 is: 1,231,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,590 : 560,006 = 560,006 : x
  2. Step 2: Convert to fraction form
    254,590/560,006 = 560,006/x
  3. Step 3: Cross multiply
    254,590x = 560,006 × 560,006
  4. Step 4: Simplify right side
    254,590x = 313,606,720,036
  5. Step 5: Solve for x
    x = 313,606,720,036/254,590
  6. Step 6: Final answer
    x = 1,231,810.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.