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Finding the Third Proportional to 344,131 and 506,041

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Solution

The third proportional to 344,131 and 506,041 is: 744,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,131 : 506,041 = 506,041 : x
  2. Step 2: Convert to fraction form
    344,131/506,041 = 506,041/x
  3. Step 3: Cross multiply
    344,131x = 506,041 × 506,041
  4. Step 4: Simplify right side
    344,131x = 256,077,493,681
  5. Step 5: Solve for x
    x = 256,077,493,681/344,131
  6. Step 6: Final answer
    x = 744,127.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.