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Finding the Third Proportional to 349,077 and 751,584

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Solution

The third proportional to 349,077 and 751,584 is: 1,618,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,077 : 751,584 = 751,584 : x
  2. Step 2: Convert to fraction form
    349,077/751,584 = 751,584/x
  3. Step 3: Cross multiply
    349,077x = 751,584 × 751,584
  4. Step 4: Simplify right side
    349,077x = 564,878,509,056
  5. Step 5: Solve for x
    x = 564,878,509,056/349,077
  6. Step 6: Final answer
    x = 1,618,206.04

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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.