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Finding the Third Proportional to 210,229 and 459,580

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Solution

The third proportional to 210,229 and 459,580 is: 1,004,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,229 : 459,580 = 459,580 : x
  2. Step 2: Convert to fraction form
    210,229/459,580 = 459,580/x
  3. Step 3: Cross multiply
    210,229x = 459,580 × 459,580
  4. Step 4: Simplify right side
    210,229x = 211,213,776,400
  5. Step 5: Solve for x
    x = 211,213,776,400/210,229
  6. Step 6: Final answer
    x = 1,004,684.30

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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.