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Finding the Third Proportional to 348,714 and 756,180

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Solution

The third proportional to 348,714 and 756,180 is: 1,639,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,714 : 756,180 = 756,180 : x
  2. Step 2: Convert to fraction form
    348,714/756,180 = 756,180/x
  3. Step 3: Cross multiply
    348,714x = 756,180 × 756,180
  4. Step 4: Simplify right side
    348,714x = 571,808,192,400
  5. Step 5: Solve for x
    x = 571,808,192,400/348,714
  6. Step 6: Final answer
    x = 1,639,762.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.