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Finding the Third Proportional to 213,226 and 459,664

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Solution

The third proportional to 213,226 and 459,664 is: 990,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,226 : 459,664 = 459,664 : x
  2. Step 2: Convert to fraction form
    213,226/459,664 = 459,664/x
  3. Step 3: Cross multiply
    213,226x = 459,664 × 459,664
  4. Step 4: Simplify right side
    213,226x = 211,290,992,896
  5. Step 5: Solve for x
    x = 211,290,992,896/213,226
  6. Step 6: Final answer
    x = 990,925.09

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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.