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Finding the Third Proportional to 419,598 and 632,880

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Solution

The third proportional to 419,598 and 632,880 is: 954,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,598 : 632,880 = 632,880 : x
  2. Step 2: Convert to fraction form
    419,598/632,880 = 632,880/x
  3. Step 3: Cross multiply
    419,598x = 632,880 × 632,880
  4. Step 4: Simplify right side
    419,598x = 400,537,094,400
  5. Step 5: Solve for x
    x = 400,537,094,400/419,598
  6. Step 6: Final answer
    x = 954,573.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.