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Finding the Third Proportional to 333,308.25 and 786,329.44

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Solution

The third proportional to 333,308.25 and 786,329.44 is: 1,855,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,308.25 : 786,329.44 = 786,329.44 : x
  2. Step 2: Convert to fraction form
    333,308.25/786,329.44 = 786,329.44/x
  3. Step 3: Cross multiply
    333,308.25x = 786,329.44 × 786,329.44
  4. Step 4: Simplify right side
    333,308.25x = 618,313,984,279.07
  5. Step 5: Solve for x
    x = 618,313,984,279.07/333,308.25
  6. Step 6: Final answer
    x = 1,855,081.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.