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Finding the Third Proportional to 366,904 and 749,360

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Solution

The third proportional to 366,904 and 749,360 is: 1,530,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,904 : 749,360 = 749,360 : x
  2. Step 2: Convert to fraction form
    366,904/749,360 = 749,360/x
  3. Step 3: Cross multiply
    366,904x = 749,360 × 749,360
  4. Step 4: Simplify right side
    366,904x = 561,540,409,600
  5. Step 5: Solve for x
    x = 561,540,409,600/366,904
  6. Step 6: Final answer
    x = 1,530,483.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.