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Finding the Third Proportional to 210,231 and 459,584

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Solution

The third proportional to 210,231 and 459,584 is: 1,004,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,231 : 459,584 = 459,584 : x
  2. Step 2: Convert to fraction form
    210,231/459,584 = 459,584/x
  3. Step 3: Cross multiply
    210,231x = 459,584 × 459,584
  4. Step 4: Simplify right side
    210,231x = 211,217,453,056
  5. Step 5: Solve for x
    x = 211,217,453,056/210,231
  6. Step 6: Final answer
    x = 1,004,692.23

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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.