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Finding the Third Proportional to 208,708 and 450,765

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Solution

The third proportional to 208,708 and 450,765 is: 973,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,708 : 450,765 = 450,765 : x
  2. Step 2: Convert to fraction form
    208,708/450,765 = 450,765/x
  3. Step 3: Cross multiply
    208,708x = 450,765 × 450,765
  4. Step 4: Simplify right side
    208,708x = 203,189,085,225
  5. Step 5: Solve for x
    x = 203,189,085,225/208,708
  6. Step 6: Final answer
    x = 973,556.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.