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Finding the Third Proportional to 205,172 and 463,026

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Solution

The third proportional to 205,172 and 463,026 is: 1,044,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172 : 463,026 = 463,026 : x
  2. Step 2: Convert to fraction form
    205,172/463,026 = 463,026/x
  3. Step 3: Cross multiply
    205,172x = 463,026 × 463,026
  4. Step 4: Simplify right side
    205,172x = 214,393,076,676
  5. Step 5: Solve for x
    x = 214,393,076,676/205,172
  6. Step 6: Final answer
    x = 1,044,943.15

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.