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Finding the Third Proportional to 460,777 and 958,329

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Solution

The third proportional to 460,777 and 958,329 is: 1,993,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,777 : 958,329 = 958,329 : x
  2. Step 2: Convert to fraction form
    460,777/958,329 = 958,329/x
  3. Step 3: Cross multiply
    460,777x = 958,329 × 958,329
  4. Step 4: Simplify right side
    460,777x = 918,394,472,241
  5. Step 5: Solve for x
    x = 918,394,472,241/460,777
  6. Step 6: Final answer
    x = 1,993,143.04

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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.