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Finding the Third Proportional to 275,532 and 584,130

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Solution

The third proportional to 275,532 and 584,130 is: 1,238,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,532 : 584,130 = 584,130 : x
  2. Step 2: Convert to fraction form
    275,532/584,130 = 584,130/x
  3. Step 3: Cross multiply
    275,532x = 584,130 × 584,130
  4. Step 4: Simplify right side
    275,532x = 341,207,856,900
  5. Step 5: Solve for x
    x = 341,207,856,900/275,532
  6. Step 6: Final answer
    x = 1,238,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.