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Finding the Third Proportional to 348,087 and 760,086

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Solution

The third proportional to 348,087 and 760,086 is: 1,659,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,087 : 760,086 = 760,086 : x
  2. Step 2: Convert to fraction form
    348,087/760,086 = 760,086/x
  3. Step 3: Cross multiply
    348,087x = 760,086 × 760,086
  4. Step 4: Simplify right side
    348,087x = 577,730,727,396
  5. Step 5: Solve for x
    x = 577,730,727,396/348,087
  6. Step 6: Final answer
    x = 1,659,730.84

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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.