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Finding the Third Proportional to 210,227 and 459,577

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Solution

The third proportional to 210,227 and 459,577 is: 1,004,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,227 : 459,577 = 459,577 : x
  2. Step 2: Convert to fraction form
    210,227/459,577 = 459,577/x
  3. Step 3: Cross multiply
    210,227x = 459,577 × 459,577
  4. Step 4: Simplify right side
    210,227x = 211,211,018,929
  5. Step 5: Solve for x
    x = 211,211,018,929/210,227
  6. Step 6: Final answer
    x = 1,004,680.74

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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.