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Finding the Third Proportional to 333,248.25 and 476,211.75

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Solution

The third proportional to 333,248.25 and 476,211.75 is: 680,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,248.25 : 476,211.75 = 476,211.75 : x
  2. Step 2: Convert to fraction form
    333,248.25/476,211.75 = 476,211.75/x
  3. Step 3: Cross multiply
    333,248.25x = 476,211.75 × 476,211.75
  4. Step 4: Simplify right side
    333,248.25x = 226,777,630,838.06
  5. Step 5: Solve for x
    x = 226,777,630,838.06/333,248.25
  6. Step 6: Final answer
    x = 680,506.59

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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.