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Finding the Third Proportional to 212,746 and 460,436

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Solution

The third proportional to 212,746 and 460,436 is: 996,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,746 : 460,436 = 460,436 : x
  2. Step 2: Convert to fraction form
    212,746/460,436 = 460,436/x
  3. Step 3: Cross multiply
    212,746x = 460,436 × 460,436
  4. Step 4: Simplify right side
    212,746x = 212,001,310,096
  5. Step 5: Solve for x
    x = 212,001,310,096/212,746
  6. Step 6: Final answer
    x = 996,499.63

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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.