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Finding the Third Proportional to 333,175.78 and 529,288.17

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Solution

The third proportional to 333,175.78 and 529,288.17 is: 840,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,175.78 : 529,288.17 = 529,288.17 : x
  2. Step 2: Convert to fraction form
    333,175.78/529,288.17 = 529,288.17/x
  3. Step 3: Cross multiply
    333,175.78x = 529,288.17 × 529,288.17
  4. Step 4: Simplify right side
    333,175.78x = 280,145,968,886.78
  5. Step 5: Solve for x
    x = 280,145,968,886.78/333,175.78
  6. Step 6: Final answer
    x = 840,835.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.