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Finding the Third Proportional to 354,714 and 726,000

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Solution

The third proportional to 354,714 and 726,000 is: 1,485,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,714 : 726,000 = 726,000 : x
  2. Step 2: Convert to fraction form
    354,714/726,000 = 726,000/x
  3. Step 3: Cross multiply
    354,714x = 726,000 × 726,000
  4. Step 4: Simplify right side
    354,714x = 527,076,000,000
  5. Step 5: Solve for x
    x = 527,076,000,000/354,714
  6. Step 6: Final answer
    x = 1,485,918.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.