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Finding the Third Proportional to 348,298 and 765,094

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Solution

The third proportional to 348,298 and 765,094 is: 1,680,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,298 : 765,094 = 765,094 : x
  2. Step 2: Convert to fraction form
    348,298/765,094 = 765,094/x
  3. Step 3: Cross multiply
    348,298x = 765,094 × 765,094
  4. Step 4: Simplify right side
    348,298x = 585,368,828,836
  5. Step 5: Solve for x
    x = 585,368,828,836/348,298
  6. Step 6: Final answer
    x = 1,680,655.15

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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.