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Finding the Third Proportional to 352,683 and 768,303

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Solution

The third proportional to 352,683 and 768,303 is: 1,673,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,683 : 768,303 = 768,303 : x
  2. Step 2: Convert to fraction form
    352,683/768,303 = 768,303/x
  3. Step 3: Cross multiply
    352,683x = 768,303 × 768,303
  4. Step 4: Simplify right side
    352,683x = 590,289,499,809
  5. Step 5: Solve for x
    x = 590,289,499,809/352,683
  6. Step 6: Final answer
    x = 1,673,711.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.