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Finding the Third Proportional to 435,733 and 627,584

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Solution

The third proportional to 435,733 and 627,584 is: 903,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,733 : 627,584 = 627,584 : x
  2. Step 2: Convert to fraction form
    435,733/627,584 = 627,584/x
  3. Step 3: Cross multiply
    435,733x = 627,584 × 627,584
  4. Step 4: Simplify right side
    435,733x = 393,861,677,056
  5. Step 5: Solve for x
    x = 393,861,677,056/435,733
  6. Step 6: Final answer
    x = 903,906.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.