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Finding the Third Proportional to 627,135.75 and 946,580.63

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Solution

The third proportional to 627,135.75 and 946,580.63 is: 1,428,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,135.75 : 946,580.63 = 946,580.63 : x
  2. Step 2: Convert to fraction form
    627,135.75/946,580.63 = 946,580.63/x
  3. Step 3: Cross multiply
    627,135.75x = 946,580.63 × 946,580.63
  4. Step 4: Simplify right side
    627,135.75x = 896,014,879,625.39
  5. Step 5: Solve for x
    x = 896,014,879,625.39/627,135.75
  6. Step 6: Final answer
    x = 1,428,741.51

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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.