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Finding the Third Proportional to 308,838 and 671,820

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Solution

The third proportional to 308,838 and 671,820 is: 1,461,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,838 : 671,820 = 671,820 : x
  2. Step 2: Convert to fraction form
    308,838/671,820 = 671,820/x
  3. Step 3: Cross multiply
    308,838x = 671,820 × 671,820
  4. Step 4: Simplify right side
    308,838x = 451,342,112,400
  5. Step 5: Solve for x
    x = 451,342,112,400/308,838
  6. Step 6: Final answer
    x = 1,461,420.27

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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.