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Finding the Third Proportional to 624,912 and 933,278

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Solution

The third proportional to 624,912 and 933,278 is: 1,393,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,912 : 933,278 = 933,278 : x
  2. Step 2: Convert to fraction form
    624,912/933,278 = 933,278/x
  3. Step 3: Cross multiply
    624,912x = 933,278 × 933,278
  4. Step 4: Simplify right side
    624,912x = 871,007,825,284
  5. Step 5: Solve for x
    x = 871,007,825,284/624,912
  6. Step 6: Final answer
    x = 1,393,808.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.