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Finding the Third Proportional to 210,414.38 and 448,313.63

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Solution

The third proportional to 210,414.38 and 448,313.63 is: 955,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.38 : 448,313.63 = 448,313.63 : x
  2. Step 2: Convert to fraction form
    210,414.38/448,313.63 = 448,313.63/x
  3. Step 3: Cross multiply
    210,414.38x = 448,313.63 × 448,313.63
  4. Step 4: Simplify right side
    210,414.38x = 200,985,106,360.64
  5. Step 5: Solve for x
    x = 200,985,106,360.64/210,414.38
  6. Step 6: Final answer
    x = 955,187.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.