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Finding the Third Proportional to 343,566 and 513,769.50

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Solution

The third proportional to 343,566 and 513,769.50 is: 768,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,566 : 513,769.50 = 513,769.50 : x
  2. Step 2: Convert to fraction form
    343,566/513,769.50 = 513,769.50/x
  3. Step 3: Cross multiply
    343,566x = 513,769.50 × 513,769.50
  4. Step 4: Simplify right side
    343,566x = 263,959,099,130.25
  5. Step 5: Solve for x
    x = 263,959,099,130.25/343,566
  6. Step 6: Final answer
    x = 768,292.26

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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.