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Finding the Third Proportional to 211,298.63 and 458,424.56

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Solution

The third proportional to 211,298.63 and 458,424.56 is: 994,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,298.63 : 458,424.56 = 458,424.56 : x
  2. Step 2: Convert to fraction form
    211,298.63/458,424.56 = 458,424.56/x
  3. Step 3: Cross multiply
    211,298.63x = 458,424.56 × 458,424.56
  4. Step 4: Simplify right side
    211,298.63x = 210,153,079,503.32
  5. Step 5: Solve for x
    x = 210,153,079,503.32/211,298.63
  6. Step 6: Final answer
    x = 994,578.55

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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.