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Finding the Third Proportional to 350,502 and 744,756

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Solution

The third proportional to 350,502 and 744,756 is: 1,582,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,502 : 744,756 = 744,756 : x
  2. Step 2: Convert to fraction form
    350,502/744,756 = 744,756/x
  3. Step 3: Cross multiply
    350,502x = 744,756 × 744,756
  4. Step 4: Simplify right side
    350,502x = 554,661,499,536
  5. Step 5: Solve for x
    x = 554,661,499,536/350,502
  6. Step 6: Final answer
    x = 1,582,477.42

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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.