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Finding the Third Proportional to 287,370 and 628,244

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Solution

The third proportional to 287,370 and 628,244 is: 1,373,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,370 : 628,244 = 628,244 : x
  2. Step 2: Convert to fraction form
    287,370/628,244 = 628,244/x
  3. Step 3: Cross multiply
    287,370x = 628,244 × 628,244
  4. Step 4: Simplify right side
    287,370x = 394,690,523,536
  5. Step 5: Solve for x
    x = 394,690,523,536/287,370
  6. Step 6: Final answer
    x = 1,373,457.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.