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Finding the Third Proportional to 275,658 and 600,540

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Solution

The third proportional to 275,658 and 600,540 is: 1,308,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,658 : 600,540 = 600,540 : x
  2. Step 2: Convert to fraction form
    275,658/600,540 = 600,540/x
  3. Step 3: Cross multiply
    275,658x = 600,540 × 600,540
  4. Step 4: Simplify right side
    275,658x = 360,648,291,600
  5. Step 5: Solve for x
    x = 360,648,291,600/275,658
  6. Step 6: Final answer
    x = 1,308,317.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.