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Finding the Third Proportional to 267,556 and 581,240

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Solution

The third proportional to 267,556 and 581,240 is: 1,262,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,556 : 581,240 = 581,240 : x
  2. Step 2: Convert to fraction form
    267,556/581,240 = 581,240/x
  3. Step 3: Cross multiply
    267,556x = 581,240 × 581,240
  4. Step 4: Simplify right side
    267,556x = 337,839,937,600
  5. Step 5: Solve for x
    x = 337,839,937,600/267,556
  6. Step 6: Final answer
    x = 1,262,688.70

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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.