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Finding the Third Proportional to 210,348 and 459,238.50

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Solution

The third proportional to 210,348 and 459,238.50 is: 1,002,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,348 : 459,238.50 = 459,238.50 : x
  2. Step 2: Convert to fraction form
    210,348/459,238.50 = 459,238.50/x
  3. Step 3: Cross multiply
    210,348x = 459,238.50 × 459,238.50
  4. Step 4: Simplify right side
    210,348x = 210,899,999,882.25
  5. Step 5: Solve for x
    x = 210,899,999,882.25/210,348
  6. Step 6: Final answer
    x = 1,002,624.22

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