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Finding the Third Proportional to 270,100 and 581,752

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Solution

The third proportional to 270,100 and 581,752 is: 1,253,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,100 : 581,752 = 581,752 : x
  2. Step 2: Convert to fraction form
    270,100/581,752 = 581,752/x
  3. Step 3: Cross multiply
    270,100x = 581,752 × 581,752
  4. Step 4: Simplify right side
    270,100x = 338,435,389,504
  5. Step 5: Solve for x
    x = 338,435,389,504/270,100
  6. Step 6: Final answer
    x = 1,253,000.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.