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Finding the Third Proportional to 212,744 and 460,432

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Solution

The third proportional to 212,744 and 460,432 is: 996,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,744 : 460,432 = 460,432 : x
  2. Step 2: Convert to fraction form
    212,744/460,432 = 460,432/x
  3. Step 3: Cross multiply
    212,744x = 460,432 × 460,432
  4. Step 4: Simplify right side
    212,744x = 211,997,626,624
  5. Step 5: Solve for x
    x = 211,997,626,624/212,744
  6. Step 6: Final answer
    x = 996,491.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.