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Finding the Third Proportional to 212,236 and 459,464

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Solution

The third proportional to 212,236 and 459,464 is: 994,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,236 : 459,464 = 459,464 : x
  2. Step 2: Convert to fraction form
    212,236/459,464 = 459,464/x
  3. Step 3: Cross multiply
    212,236x = 459,464 × 459,464
  4. Step 4: Simplify right side
    212,236x = 211,107,167,296
  5. Step 5: Solve for x
    x = 211,107,167,296/212,236
  6. Step 6: Final answer
    x = 994,681.24

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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.