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Finding the Third Proportional to 289,264 and 628,284

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Solution

The third proportional to 289,264 and 628,284 is: 1,364,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,264 : 628,284 = 628,284 : x
  2. Step 2: Convert to fraction form
    289,264/628,284 = 628,284/x
  3. Step 3: Cross multiply
    289,264x = 628,284 × 628,284
  4. Step 4: Simplify right side
    289,264x = 394,740,784,656
  5. Step 5: Solve for x
    x = 394,740,784,656/289,264
  6. Step 6: Final answer
    x = 1,364,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.