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Finding the Third Proportional to 211,453.63 and 455,916.38

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Solution

The third proportional to 211,453.63 and 455,916.38 is: 983,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,453.63 : 455,916.38 = 455,916.38 : x
  2. Step 2: Convert to fraction form
    211,453.63/455,916.38 = 455,916.38/x
  3. Step 3: Cross multiply
    211,453.63x = 455,916.38 × 455,916.38
  4. Step 4: Simplify right side
    211,453.63x = 207,859,740,993.14
  5. Step 5: Solve for x
    x = 207,859,740,993.14/211,453.63
  6. Step 6: Final answer
    x = 983,003.91

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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.