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Finding the Third Proportional to 253,293 and 550,488

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Solution

The third proportional to 253,293 and 550,488 is: 1,196,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,293 : 550,488 = 550,488 : x
  2. Step 2: Convert to fraction form
    253,293/550,488 = 550,488/x
  3. Step 3: Cross multiply
    253,293x = 550,488 × 550,488
  4. Step 4: Simplify right side
    253,293x = 303,037,038,144
  5. Step 5: Solve for x
    x = 303,037,038,144/253,293
  6. Step 6: Final answer
    x = 1,196,389.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.