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Finding the Third Proportional to 210,184 and 459,817

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Solution

The third proportional to 210,184 and 459,817 is: 1,005,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,184 : 459,817 = 459,817 : x
  2. Step 2: Convert to fraction form
    210,184/459,817 = 459,817/x
  3. Step 3: Cross multiply
    210,184x = 459,817 × 459,817
  4. Step 4: Simplify right side
    210,184x = 211,431,673,489
  5. Step 5: Solve for x
    x = 211,431,673,489/210,184
  6. Step 6: Final answer
    x = 1,005,936.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.