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Finding the Third Proportional to 343,541 and 513,732

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Solution

The third proportional to 343,541 and 513,732 is: 768,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,541 : 513,732 = 513,732 : x
  2. Step 2: Convert to fraction form
    343,541/513,732 = 513,732/x
  3. Step 3: Cross multiply
    343,541x = 513,732 × 513,732
  4. Step 4: Simplify right side
    343,541x = 263,920,567,824
  5. Step 5: Solve for x
    x = 263,920,567,824/343,541
  6. Step 6: Final answer
    x = 768,236.01

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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.