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Finding the Third Proportional to 336,829 and 508,741

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Solution

The third proportional to 336,829 and 508,741 is: 768,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,829 : 508,741 = 508,741 : x
  2. Step 2: Convert to fraction form
    336,829/508,741 = 508,741/x
  3. Step 3: Cross multiply
    336,829x = 508,741 × 508,741
  4. Step 4: Simplify right side
    336,829x = 258,817,405,081
  5. Step 5: Solve for x
    x = 258,817,405,081/336,829
  6. Step 6: Final answer
    x = 768,394.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.