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Finding the Third Proportional to 333,244.75 and 476,206.50

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Solution

The third proportional to 333,244.75 and 476,206.50 is: 680,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,244.75 : 476,206.50 = 476,206.50 : x
  2. Step 2: Convert to fraction form
    333,244.75/476,206.50 = 476,206.50/x
  3. Step 3: Cross multiply
    333,244.75x = 476,206.50 × 476,206.50
  4. Step 4: Simplify right side
    333,244.75x = 226,772,630,642.25
  5. Step 5: Solve for x
    x = 226,772,630,642.25/333,244.75
  6. Step 6: Final answer
    x = 680,498.73

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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.