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Finding the Third Proportional to 416,052 and 627,012

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Solution

The third proportional to 416,052 and 627,012 is: 944,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,052 : 627,012 = 627,012 : x
  2. Step 2: Convert to fraction form
    416,052/627,012 = 627,012/x
  3. Step 3: Cross multiply
    416,052x = 627,012 × 627,012
  4. Step 4: Simplify right side
    416,052x = 393,144,048,144
  5. Step 5: Solve for x
    x = 393,144,048,144/416,052
  6. Step 6: Final answer
    x = 944,939.69

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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.