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Finding the Third Proportional to 250,417 and 548,583

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Solution

The third proportional to 250,417 and 548,583 is: 1,201,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,417 : 548,583 = 548,583 : x
  2. Step 2: Convert to fraction form
    250,417/548,583 = 548,583/x
  3. Step 3: Cross multiply
    250,417x = 548,583 × 548,583
  4. Step 4: Simplify right side
    250,417x = 300,943,307,889
  5. Step 5: Solve for x
    x = 300,943,307,889/250,417
  6. Step 6: Final answer
    x = 1,201,768.68

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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.