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Finding the Third Proportional to 343,616 and 524,310

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Solution

The third proportional to 343,616 and 524,310 is: 800,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,616 : 524,310 = 524,310 : x
  2. Step 2: Convert to fraction form
    343,616/524,310 = 524,310/x
  3. Step 3: Cross multiply
    343,616x = 524,310 × 524,310
  4. Step 4: Simplify right side
    343,616x = 274,900,976,100
  5. Step 5: Solve for x
    x = 274,900,976,100/343,616
  6. Step 6: Final answer
    x = 800,023.79

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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.