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Finding the Third Proportional to 624,880 and 946,074

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Solution

The third proportional to 624,880 and 946,074 is: 1,432,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,880 : 946,074 = 946,074 : x
  2. Step 2: Convert to fraction form
    624,880/946,074 = 946,074/x
  3. Step 3: Cross multiply
    624,880x = 946,074 × 946,074
  4. Step 4: Simplify right side
    624,880x = 895,056,013,476
  5. Step 5: Solve for x
    x = 895,056,013,476/624,880
  6. Step 6: Final answer
    x = 1,432,364.64

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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.