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Finding the Third Proportional to 211,461.75 and 455,932.13

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Solution

The third proportional to 211,461.75 and 455,932.13 is: 983,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,461.75 : 455,932.13 = 455,932.13 : x
  2. Step 2: Convert to fraction form
    211,461.75/455,932.13 = 455,932.13/x
  3. Step 3: Cross multiply
    211,461.75x = 455,932.13 × 455,932.13
  4. Step 4: Simplify right side
    211,461.75x = 207,874,102,607.02
  5. Step 5: Solve for x
    x = 207,874,102,607.02/211,461.75
  6. Step 6: Final answer
    x = 983,034.06

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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.