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Finding the Third Proportional to 213,882 and 459,348

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Solution

The third proportional to 213,882 and 459,348 is: 986,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882 : 459,348 = 459,348 : x
  2. Step 2: Convert to fraction form
    213,882/459,348 = 459,348/x
  3. Step 3: Cross multiply
    213,882x = 459,348 × 459,348
  4. Step 4: Simplify right side
    213,882x = 211,000,585,104
  5. Step 5: Solve for x
    x = 211,000,585,104/213,882
  6. Step 6: Final answer
    x = 986,528.02

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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.