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Finding the Third Proportional to 213,519 and 459,195

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Solution

The third proportional to 213,519 and 459,195 is: 987,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,519 : 459,195 = 459,195 : x
  2. Step 2: Convert to fraction form
    213,519/459,195 = 459,195/x
  3. Step 3: Cross multiply
    213,519x = 459,195 × 459,195
  4. Step 4: Simplify right side
    213,519x = 210,860,048,025
  5. Step 5: Solve for x
    x = 210,860,048,025/213,519
  6. Step 6: Final answer
    x = 987,547.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.