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Finding the Third Proportional to 345,866 and 745,096

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Solution

The third proportional to 345,866 and 745,096 is: 1,605,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,866 : 745,096 = 745,096 : x
  2. Step 2: Convert to fraction form
    345,866/745,096 = 745,096/x
  3. Step 3: Cross multiply
    345,866x = 745,096 × 745,096
  4. Step 4: Simplify right side
    345,866x = 555,168,049,216
  5. Step 5: Solve for x
    x = 555,168,049,216/345,866
  6. Step 6: Final answer
    x = 1,605,153.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.