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Finding the Third Proportional to 230,756 and 495,984

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Solution

The third proportional to 230,756 and 495,984 is: 1,066,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,756 : 495,984 = 495,984 : x
  2. Step 2: Convert to fraction form
    230,756/495,984 = 495,984/x
  3. Step 3: Cross multiply
    230,756x = 495,984 × 495,984
  4. Step 4: Simplify right side
    230,756x = 246,000,128,256
  5. Step 5: Solve for x
    x = 246,000,128,256/230,756
  6. Step 6: Final answer
    x = 1,066,061.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.