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Finding the Third Proportional to 490,781.25 and 733,240

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Solution

The third proportional to 490,781.25 and 733,240 is: 1,095,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,781.25 : 733,240 = 733,240 : x
  2. Step 2: Convert to fraction form
    490,781.25/733,240 = 733,240/x
  3. Step 3: Cross multiply
    490,781.25x = 733,240 × 733,240
  4. Step 4: Simplify right side
    490,781.25x = 537,640,897,600
  5. Step 5: Solve for x
    x = 537,640,897,600/490,781.25
  6. Step 6: Final answer
    x = 1,095,479.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.