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Finding the Third Proportional to 350,507 and 744,766

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Solution

The third proportional to 350,507 and 744,766 is: 1,582,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,507 : 744,766 = 744,766 : x
  2. Step 2: Convert to fraction form
    350,507/744,766 = 744,766/x
  3. Step 3: Cross multiply
    350,507x = 744,766 × 744,766
  4. Step 4: Simplify right side
    350,507x = 554,676,394,756
  5. Step 5: Solve for x
    x = 554,676,394,756/350,507
  6. Step 6: Final answer
    x = 1,582,497.34

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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.