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Finding the Third Proportional to 210,534 and 467,724

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Solution

The third proportional to 210,534 and 467,724 is: 1,039,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,534 : 467,724 = 467,724 : x
  2. Step 2: Convert to fraction form
    210,534/467,724 = 467,724/x
  3. Step 3: Cross multiply
    210,534x = 467,724 × 467,724
  4. Step 4: Simplify right side
    210,534x = 218,765,740,176
  5. Step 5: Solve for x
    x = 218,765,740,176/210,534
  6. Step 6: Final answer
    x = 1,039,099.34

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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.