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Finding the Third Proportional to 212,124 and 460,700

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Solution

The third proportional to 212,124 and 460,700 is: 1,000,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,124 : 460,700 = 460,700 : x
  2. Step 2: Convert to fraction form
    212,124/460,700 = 460,700/x
  3. Step 3: Cross multiply
    212,124x = 460,700 × 460,700
  4. Step 4: Simplify right side
    212,124x = 212,244,490,000
  5. Step 5: Solve for x
    x = 212,244,490,000/212,124
  6. Step 6: Final answer
    x = 1,000,568.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.