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Finding the Third Proportional to 343,551 and 513,747

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Solution

The third proportional to 343,551 and 513,747 is: 768,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,551 : 513,747 = 513,747 : x
  2. Step 2: Convert to fraction form
    343,551/513,747 = 513,747/x
  3. Step 3: Cross multiply
    343,551x = 513,747 × 513,747
  4. Step 4: Simplify right side
    343,551x = 263,935,980,009
  5. Step 5: Solve for x
    x = 263,935,980,009/343,551
  6. Step 6: Final answer
    x = 768,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.