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Finding the Third Proportional to 290,331 and 426,954

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Solution

The third proportional to 290,331 and 426,954 is: 627,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,331 : 426,954 = 426,954 : x
  2. Step 2: Convert to fraction form
    290,331/426,954 = 426,954/x
  3. Step 3: Cross multiply
    290,331x = 426,954 × 426,954
  4. Step 4: Simplify right side
    290,331x = 182,289,718,116
  5. Step 5: Solve for x
    x = 182,289,718,116/290,331
  6. Step 6: Final answer
    x = 627,868.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.