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Finding the Third Proportional to 350,704 and 745,148

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Solution

The third proportional to 350,704 and 745,148 is: 1,583,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,704 : 745,148 = 745,148 : x
  2. Step 2: Convert to fraction form
    350,704/745,148 = 745,148/x
  3. Step 3: Cross multiply
    350,704x = 745,148 × 745,148
  4. Step 4: Simplify right side
    350,704x = 555,245,541,904
  5. Step 5: Solve for x
    x = 555,245,541,904/350,704
  6. Step 6: Final answer
    x = 1,583,231.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.