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Finding the Third Proportional to 345,141 and 745,794

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Solution

The third proportional to 345,141 and 745,794 is: 1,611,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,141 : 745,794 = 745,794 : x
  2. Step 2: Convert to fraction form
    345,141/745,794 = 745,794/x
  3. Step 3: Cross multiply
    345,141x = 745,794 × 745,794
  4. Step 4: Simplify right side
    345,141x = 556,208,690,436
  5. Step 5: Solve for x
    x = 556,208,690,436/345,141
  6. Step 6: Final answer
    x = 1,611,540.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.