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Finding the Third Proportional to 215,604 and 460,763

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Solution

The third proportional to 215,604 and 460,763 is: 984,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,604 : 460,763 = 460,763 : x
  2. Step 2: Convert to fraction form
    215,604/460,763 = 460,763/x
  3. Step 3: Cross multiply
    215,604x = 460,763 × 460,763
  4. Step 4: Simplify right side
    215,604x = 212,302,542,169
  5. Step 5: Solve for x
    x = 212,302,542,169/215,604
  6. Step 6: Final answer
    x = 984,687.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.