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Finding the Third Proportional to 348,300 and 765,098

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Solution

The third proportional to 348,300 and 765,098 is: 1,680,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,300 : 765,098 = 765,098 : x
  2. Step 2: Convert to fraction form
    348,300/765,098 = 765,098/x
  3. Step 3: Cross multiply
    348,300x = 765,098 × 765,098
  4. Step 4: Simplify right side
    348,300x = 585,374,949,604
  5. Step 5: Solve for x
    x = 585,374,949,604/348,300
  6. Step 6: Final answer
    x = 1,680,663.08

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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.