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Finding the Third Proportional to 416,088 and 627,075

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Solution

The third proportional to 416,088 and 627,075 is: 945,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,088 : 627,075 = 627,075 : x
  2. Step 2: Convert to fraction form
    416,088/627,075 = 627,075/x
  3. Step 3: Cross multiply
    416,088x = 627,075 × 627,075
  4. Step 4: Simplify right side
    416,088x = 393,223,055,625
  5. Step 5: Solve for x
    x = 393,223,055,625/416,088
  6. Step 6: Final answer
    x = 945,047.82

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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.