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Finding the Third Proportional to 348,306 and 765,110

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Solution

The third proportional to 348,306 and 765,110 is: 1,680,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,306 : 765,110 = 765,110 : x
  2. Step 2: Convert to fraction form
    348,306/765,110 = 765,110/x
  3. Step 3: Cross multiply
    348,306x = 765,110 × 765,110
  4. Step 4: Simplify right side
    348,306x = 585,393,312,100
  5. Step 5: Solve for x
    x = 585,393,312,100/348,306
  6. Step 6: Final answer
    x = 1,680,686.84

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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.