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Finding the Third Proportional to 211,310 and 458,468

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Solution

The third proportional to 211,310 and 458,468 is: 994,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,310 : 458,468 = 458,468 : x
  2. Step 2: Convert to fraction form
    211,310/458,468 = 458,468/x
  3. Step 3: Cross multiply
    211,310x = 458,468 × 458,468
  4. Step 4: Simplify right side
    211,310x = 210,192,907,024
  5. Step 5: Solve for x
    x = 210,192,907,024/211,310
  6. Step 6: Final answer
    x = 994,713.49

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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.