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Finding the Third Proportional to 346,142 and 751,336

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Solution

The third proportional to 346,142 and 751,336 is: 1,630,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,142 : 751,336 = 751,336 : x
  2. Step 2: Convert to fraction form
    346,142/751,336 = 751,336/x
  3. Step 3: Cross multiply
    346,142x = 751,336 × 751,336
  4. Step 4: Simplify right side
    346,142x = 564,505,784,896
  5. Step 5: Solve for x
    x = 564,505,784,896/346,142
  6. Step 6: Final answer
    x = 1,630,850.30

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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.