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Finding the Third Proportional to 348,078 and 760,068

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Solution

The third proportional to 348,078 and 760,068 is: 1,659,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,078 : 760,068 = 760,068 : x
  2. Step 2: Convert to fraction form
    348,078/760,068 = 760,068/x
  3. Step 3: Cross multiply
    348,078x = 760,068 × 760,068
  4. Step 4: Simplify right side
    348,078x = 577,703,364,624
  5. Step 5: Solve for x
    x = 577,703,364,624/348,078
  6. Step 6: Final answer
    x = 1,659,695.14

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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.