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Finding the Third Proportional to 336,837 and 508,753

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Solution

The third proportional to 336,837 and 508,753 is: 768,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,837 : 508,753 = 508,753 : x
  2. Step 2: Convert to fraction form
    336,837/508,753 = 508,753/x
  3. Step 3: Cross multiply
    336,837x = 508,753 × 508,753
  4. Step 4: Simplify right side
    336,837x = 258,829,615,009
  5. Step 5: Solve for x
    x = 258,829,615,009/336,837
  6. Step 6: Final answer
    x = 768,412.07

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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.