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Finding the Third Proportional to 213,132 and 459,468

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Solution

The third proportional to 213,132 and 459,468 is: 990,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,132 : 459,468 = 459,468 : x
  2. Step 2: Convert to fraction form
    213,132/459,468 = 459,468/x
  3. Step 3: Cross multiply
    213,132x = 459,468 × 459,468
  4. Step 4: Simplify right side
    213,132x = 211,110,843,024
  5. Step 5: Solve for x
    x = 211,110,843,024/213,132
  6. Step 6: Final answer
    x = 990,516.88

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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.