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Finding the Third Proportional to 340,986 and 524,271

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Solution

The third proportional to 340,986 and 524,271 is: 806,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,986 : 524,271 = 524,271 : x
  2. Step 2: Convert to fraction form
    340,986/524,271 = 524,271/x
  3. Step 3: Cross multiply
    340,986x = 524,271 × 524,271
  4. Step 4: Simplify right side
    340,986x = 274,860,081,441
  5. Step 5: Solve for x
    x = 274,860,081,441/340,986
  6. Step 6: Final answer
    x = 806,074.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.