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Finding the Third Proportional to 343,630.50 and 738,111

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Solution

The third proportional to 343,630.50 and 738,111 is: 1,585,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,630.50 : 738,111 = 738,111 : x
  2. Step 2: Convert to fraction form
    343,630.50/738,111 = 738,111/x
  3. Step 3: Cross multiply
    343,630.50x = 738,111 × 738,111
  4. Step 4: Simplify right side
    343,630.50x = 544,807,848,321
  5. Step 5: Solve for x
    x = 544,807,848,321/343,630.50
  6. Step 6: Final answer
    x = 1,585,446.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.