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Finding the Third Proportional to 333,645.75 and 733,710.75

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Solution

The third proportional to 333,645.75 and 733,710.75 is: 1,613,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,645.75 : 733,710.75 = 733,710.75 : x
  2. Step 2: Convert to fraction form
    333,645.75/733,710.75 = 733,710.75/x
  3. Step 3: Cross multiply
    333,645.75x = 733,710.75 × 733,710.75
  4. Step 4: Simplify right side
    333,645.75x = 538,331,464,665.56
  5. Step 5: Solve for x
    x = 538,331,464,665.56/333,645.75
  6. Step 6: Final answer
    x = 1,613,482.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.