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Finding the Third Proportional to 210,932 and 455,014

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Solution

The third proportional to 210,932 and 455,014 is: 981,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,932 : 455,014 = 455,014 : x
  2. Step 2: Convert to fraction form
    210,932/455,014 = 455,014/x
  3. Step 3: Cross multiply
    210,932x = 455,014 × 455,014
  4. Step 4: Simplify right side
    210,932x = 207,037,740,196
  5. Step 5: Solve for x
    x = 207,037,740,196/210,932
  6. Step 6: Final answer
    x = 981,537.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.