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Finding the Third Proportional to 291,640 and 627,584

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Solution

The third proportional to 291,640 and 627,584 is: 1,350,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,640 : 627,584 = 627,584 : x
  2. Step 2: Convert to fraction form
    291,640/627,584 = 627,584/x
  3. Step 3: Cross multiply
    291,640x = 627,584 × 627,584
  4. Step 4: Simplify right side
    291,640x = 393,861,677,056
  5. Step 5: Solve for x
    x = 393,861,677,056/291,640
  6. Step 6: Final answer
    x = 1,350,506.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.