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Finding the Third Proportional to 210,324.09 and 456,323.63

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Solution

The third proportional to 210,324.09 and 456,323.63 is: 990,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,324.09 : 456,323.63 = 456,323.63 : x
  2. Step 2: Convert to fraction form
    210,324.09/456,323.63 = 456,323.63/x
  3. Step 3: Cross multiply
    210,324.09x = 456,323.63 × 456,323.63
  4. Step 4: Simplify right side
    210,324.09x = 208,231,250,733.14
  5. Step 5: Solve for x
    x = 208,231,250,733.14/210,324.09
  6. Step 6: Final answer
    x = 990,049.44

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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.