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Finding the Third Proportional to 210,366 and 459,282

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Solution

The third proportional to 210,366 and 459,282 is: 1,002,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366 : 459,282 = 459,282 : x
  2. Step 2: Convert to fraction form
    210,366/459,282 = 459,282/x
  3. Step 3: Cross multiply
    210,366x = 459,282 × 459,282
  4. Step 4: Simplify right side
    210,366x = 210,939,955,524
  5. Step 5: Solve for x
    x = 210,939,955,524/210,366
  6. Step 6: Final answer
    x = 1,002,728.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.