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Finding the Third Proportional to 344,527 and 503,182

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Solution

The third proportional to 344,527 and 503,182 is: 734,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,527 : 503,182 = 503,182 : x
  2. Step 2: Convert to fraction form
    344,527/503,182 = 503,182/x
  3. Step 3: Cross multiply
    344,527x = 503,182 × 503,182
  4. Step 4: Simplify right side
    344,527x = 253,192,125,124
  5. Step 5: Solve for x
    x = 253,192,125,124/344,527
  6. Step 6: Final answer
    x = 734,897.77

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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.