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Finding the Third Proportional to 350,509 and 744,770

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Solution

The third proportional to 350,509 and 744,770 is: 1,582,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,509 : 744,770 = 744,770 : x
  2. Step 2: Convert to fraction form
    350,509/744,770 = 744,770/x
  3. Step 3: Cross multiply
    350,509x = 744,770 × 744,770
  4. Step 4: Simplify right side
    350,509x = 554,682,352,900
  5. Step 5: Solve for x
    x = 554,682,352,900/350,509
  6. Step 6: Final answer
    x = 1,582,505.31

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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.