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Finding the Third Proportional to 366,950 and 744,230

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Solution

The third proportional to 366,950 and 744,230 is: 1,509,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,950 : 744,230 = 744,230 : x
  2. Step 2: Convert to fraction form
    366,950/744,230 = 744,230/x
  3. Step 3: Cross multiply
    366,950x = 744,230 × 744,230
  4. Step 4: Simplify right side
    366,950x = 553,878,292,900
  5. Step 5: Solve for x
    x = 553,878,292,900/366,950
  6. Step 6: Final answer
    x = 1,509,410.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.