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Finding the Third Proportional to 210,274 and 459,396

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Solution

The third proportional to 210,274 and 459,396 is: 1,003,665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,274 : 459,396 = 459,396 : x
  2. Step 2: Convert to fraction form
    210,274/459,396 = 459,396/x
  3. Step 3: Cross multiply
    210,274x = 459,396 × 459,396
  4. Step 4: Simplify right side
    210,274x = 211,044,684,816
  5. Step 5: Solve for x
    x = 211,044,684,816/210,274
  6. Step 6: Final answer
    x = 1,003,665.15

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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.