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Finding the Third Proportional to 346,676 and 745,094

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Solution

The third proportional to 346,676 and 745,094 is: 1,601,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,676 : 745,094 = 745,094 : x
  2. Step 2: Convert to fraction form
    346,676/745,094 = 745,094/x
  3. Step 3: Cross multiply
    346,676x = 745,094 × 745,094
  4. Step 4: Simplify right side
    346,676x = 555,165,068,836
  5. Step 5: Solve for x
    x = 555,165,068,836/346,676
  6. Step 6: Final answer
    x = 1,601,394.58

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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.