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Finding the Third Proportional to 333,264.38 and 476,234.44

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Solution

The third proportional to 333,264.38 and 476,234.44 is: 680,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,264.38 : 476,234.44 = 476,234.44 : x
  2. Step 2: Convert to fraction form
    333,264.38/476,234.44 = 476,234.44/x
  3. Step 3: Cross multiply
    333,264.38x = 476,234.44 × 476,234.44
  4. Step 4: Simplify right side
    333,264.38x = 226,799,239,460.94
  5. Step 5: Solve for x
    x = 226,799,239,460.94/333,264.38
  6. Step 6: Final answer
    x = 680,538.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.