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Finding the Third Proportional to 229,554 and 495,993.38

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Solution

The third proportional to 229,554 and 495,993.38 is: 1,071,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,554 : 495,993.38 = 495,993.38 : x
  2. Step 2: Convert to fraction form
    229,554/495,993.38 = 495,993.38/x
  3. Step 3: Cross multiply
    229,554x = 495,993.38 × 495,993.38
  4. Step 4: Simplify right side
    229,554x = 246,009,428,043.89
  5. Step 5: Solve for x
    x = 246,009,428,043.89/229,554
  6. Step 6: Final answer
    x = 1,071,684.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.