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Finding the Third Proportional to 210,434 and 454,760

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Solution

The third proportional to 210,434 and 454,760 is: 982,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,434 : 454,760 = 454,760 : x
  2. Step 2: Convert to fraction form
    210,434/454,760 = 454,760/x
  3. Step 3: Cross multiply
    210,434x = 454,760 × 454,760
  4. Step 4: Simplify right side
    210,434x = 206,806,657,600
  5. Step 5: Solve for x
    x = 206,806,657,600/210,434
  6. Step 6: Final answer
    x = 982,762.56

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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.