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Finding the Third Proportional to 205,146 and 462,969

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Solution

The third proportional to 205,146 and 462,969 is: 1,044,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146 : 462,969 = 462,969 : x
  2. Step 2: Convert to fraction form
    205,146/462,969 = 462,969/x
  3. Step 3: Cross multiply
    205,146x = 462,969 × 462,969
  4. Step 4: Simplify right side
    205,146x = 214,340,294,961
  5. Step 5: Solve for x
    x = 214,340,294,961/205,146
  6. Step 6: Final answer
    x = 1,044,818.30

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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.