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Finding the Third Proportional to 344,474 and 506,504

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Solution

The third proportional to 344,474 and 506,504 is: 744,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,474 : 506,504 = 506,504 : x
  2. Step 2: Convert to fraction form
    344,474/506,504 = 506,504/x
  3. Step 3: Cross multiply
    344,474x = 506,504 × 506,504
  4. Step 4: Simplify right side
    344,474x = 256,546,302,016
  5. Step 5: Solve for x
    x = 256,546,302,016/344,474
  6. Step 6: Final answer
    x = 744,747.94

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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.