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Finding the Third Proportional to 210,024 and 456,912

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Solution

The third proportional to 210,024 and 456,912 is: 994,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,024 : 456,912 = 456,912 : x
  2. Step 2: Convert to fraction form
    210,024/456,912 = 456,912/x
  3. Step 3: Cross multiply
    210,024x = 456,912 × 456,912
  4. Step 4: Simplify right side
    210,024x = 208,768,575,744
  5. Step 5: Solve for x
    x = 208,768,575,744/210,024
  6. Step 6: Final answer
    x = 994,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.