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Finding the Third Proportional to 343,592 and 524,272

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Solution

The third proportional to 343,592 and 524,272 is: 799,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,592 : 524,272 = 524,272 : x
  2. Step 2: Convert to fraction form
    343,592/524,272 = 524,272/x
  3. Step 3: Cross multiply
    343,592x = 524,272 × 524,272
  4. Step 4: Simplify right side
    343,592x = 274,861,129,984
  5. Step 5: Solve for x
    x = 274,861,129,984/343,592
  6. Step 6: Final answer
    x = 799,963.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.