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Finding the Third Proportional to 340,984 and 524,268

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Solution

The third proportional to 340,984 and 524,268 is: 806,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,984 : 524,268 = 524,268 : x
  2. Step 2: Convert to fraction form
    340,984/524,268 = 524,268/x
  3. Step 3: Cross multiply
    340,984x = 524,268 × 524,268
  4. Step 4: Simplify right side
    340,984x = 274,856,935,824
  5. Step 5: Solve for x
    x = 274,856,935,824/340,984
  6. Step 6: Final answer
    x = 806,069.89

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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.