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Finding the Third Proportional to 210,272 and 459,392

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Solution

The third proportional to 210,272 and 459,392 is: 1,003,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,272 : 459,392 = 459,392 : x
  2. Step 2: Convert to fraction form
    210,272/459,392 = 459,392/x
  3. Step 3: Cross multiply
    210,272x = 459,392 × 459,392
  4. Step 4: Simplify right side
    210,272x = 211,041,009,664
  5. Step 5: Solve for x
    x = 211,041,009,664/210,272
  6. Step 6: Final answer
    x = 1,003,657.21

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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.