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Finding the Third Proportional to 229,032 and 488,504

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Solution

The third proportional to 229,032 and 488,504 is: 1,041,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,032 : 488,504 = 488,504 : x
  2. Step 2: Convert to fraction form
    229,032/488,504 = 488,504/x
  3. Step 3: Cross multiply
    229,032x = 488,504 × 488,504
  4. Step 4: Simplify right side
    229,032x = 238,636,158,016
  5. Step 5: Solve for x
    x = 238,636,158,016/229,032
  6. Step 6: Final answer
    x = 1,041,933.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.