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Finding the Third Proportional to 344,606 and 503,542

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Solution

The third proportional to 344,606 and 503,542 is: 735,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,606 : 503,542 = 503,542 : x
  2. Step 2: Convert to fraction form
    344,606/503,542 = 503,542/x
  3. Step 3: Cross multiply
    344,606x = 503,542 × 503,542
  4. Step 4: Simplify right side
    344,606x = 253,554,545,764
  5. Step 5: Solve for x
    x = 253,554,545,764/344,606
  6. Step 6: Final answer
    x = 735,781.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.