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Finding the Third Proportional to 460,880 and 958,548

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Solution

The third proportional to 460,880 and 958,548 is: 1,993,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,880 : 958,548 = 958,548 : x
  2. Step 2: Convert to fraction form
    460,880/958,548 = 958,548/x
  3. Step 3: Cross multiply
    460,880x = 958,548 × 958,548
  4. Step 4: Simplify right side
    460,880x = 918,814,268,304
  5. Step 5: Solve for x
    x = 918,814,268,304/460,880
  6. Step 6: Final answer
    x = 1,993,608.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.