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Finding the Third Proportional to 346,144 and 751,340

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Solution

The third proportional to 346,144 and 751,340 is: 1,630,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,144 : 751,340 = 751,340 : x
  2. Step 2: Convert to fraction form
    346,144/751,340 = 751,340/x
  3. Step 3: Cross multiply
    346,144x = 751,340 × 751,340
  4. Step 4: Simplify right side
    346,144x = 564,511,795,600
  5. Step 5: Solve for x
    x = 564,511,795,600/346,144
  6. Step 6: Final answer
    x = 1,630,858.24

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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.