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Finding the Third Proportional to 344,610 and 503,548

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Solution

The third proportional to 344,610 and 503,548 is: 735,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,610 : 503,548 = 503,548 : x
  2. Step 2: Convert to fraction form
    344,610/503,548 = 503,548/x
  3. Step 3: Cross multiply
    344,610x = 503,548 × 503,548
  4. Step 4: Simplify right side
    344,610x = 253,560,588,304
  5. Step 5: Solve for x
    x = 253,560,588,304/344,610
  6. Step 6: Final answer
    x = 735,789.99

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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.