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Finding the Third Proportional to 229,554.75 and 495,994.88

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Solution

The third proportional to 229,554.75 and 495,994.88 is: 1,071,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,554.75 : 495,994.88 = 495,994.88 : x
  2. Step 2: Convert to fraction form
    229,554.75/495,994.88 = 495,994.88/x
  3. Step 3: Cross multiply
    229,554.75x = 495,994.88 × 495,994.88
  4. Step 4: Simplify right side
    229,554.75x = 246,010,916,026.27
  5. Step 5: Solve for x
    x = 246,010,916,026.27/229,554.75
  6. Step 6: Final answer
    x = 1,071,687.33

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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.