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Finding the Third Proportional to 210,795 and 456,582

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Solution

The third proportional to 210,795 and 456,582 is: 988,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,795 : 456,582 = 456,582 : x
  2. Step 2: Convert to fraction form
    210,795/456,582 = 456,582/x
  3. Step 3: Cross multiply
    210,795x = 456,582 × 456,582
  4. Step 4: Simplify right side
    210,795x = 208,467,122,724
  5. Step 5: Solve for x
    x = 208,467,122,724/210,795
  6. Step 6: Final answer
    x = 988,956.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.