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Finding the Third Proportional to 210,124 and 449,776

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Solution

The third proportional to 210,124 and 449,776 is: 962,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,124 : 449,776 = 449,776 : x
  2. Step 2: Convert to fraction form
    210,124/449,776 = 449,776/x
  3. Step 3: Cross multiply
    210,124x = 449,776 × 449,776
  4. Step 4: Simplify right side
    210,124x = 202,298,450,176
  5. Step 5: Solve for x
    x = 202,298,450,176/210,124
  6. Step 6: Final answer
    x = 962,757.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.