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Finding the Third Proportional to 210,938 and 455,024

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Solution

The third proportional to 210,938 and 455,024 is: 981,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,938 : 455,024 = 455,024 : x
  2. Step 2: Convert to fraction form
    210,938/455,024 = 455,024/x
  3. Step 3: Cross multiply
    210,938x = 455,024 × 455,024
  4. Step 4: Simplify right side
    210,938x = 207,046,840,576
  5. Step 5: Solve for x
    x = 207,046,840,576/210,938
  6. Step 6: Final answer
    x = 981,553.07

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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.