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Finding the Third Proportional to 253,504 and 554,240

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Solution

The third proportional to 253,504 and 554,240 is: 1,211,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,504 : 554,240 = 554,240 : x
  2. Step 2: Convert to fraction form
    253,504/554,240 = 554,240/x
  3. Step 3: Cross multiply
    253,504x = 554,240 × 554,240
  4. Step 4: Simplify right side
    253,504x = 307,181,977,600
  5. Step 5: Solve for x
    x = 307,181,977,600/253,504
  6. Step 6: Final answer
    x = 1,211,744.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.