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Finding the Third Proportional to 354,753 and 761,994

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Solution

The third proportional to 354,753 and 761,994 is: 1,636,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,753 : 761,994 = 761,994 : x
  2. Step 2: Convert to fraction form
    354,753/761,994 = 761,994/x
  3. Step 3: Cross multiply
    354,753x = 761,994 × 761,994
  4. Step 4: Simplify right side
    354,753x = 580,634,856,036
  5. Step 5: Solve for x
    x = 580,634,856,036/354,753
  6. Step 6: Final answer
    x = 1,636,729.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.