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Finding the Third Proportional to 336,786.61 and 508,665.45

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Solution

The third proportional to 336,786.61 and 508,665.45 is: 768,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,786.61 : 508,665.45 = 508,665.45 : x
  2. Step 2: Convert to fraction form
    336,786.61/508,665.45 = 508,665.45/x
  3. Step 3: Cross multiply
    336,786.61x = 508,665.45 × 508,665.45
  4. Step 4: Simplify right side
    336,786.61x = 258,740,535,254.96
  5. Step 5: Solve for x
    x = 258,740,535,254.96/336,786.61
  6. Step 6: Final answer
    x = 768,262.54

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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.