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Finding the Third Proportional to 210,140 and 466,936

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Solution

The third proportional to 210,140 and 466,936 is: 1,037,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,140 : 466,936 = 466,936 : x
  2. Step 2: Convert to fraction form
    210,140/466,936 = 466,936/x
  3. Step 3: Cross multiply
    210,140x = 466,936 × 466,936
  4. Step 4: Simplify right side
    210,140x = 218,029,228,096
  5. Step 5: Solve for x
    x = 218,029,228,096/210,140
  6. Step 6: Final answer
    x = 1,037,542.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.