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Finding the Third Proportional to 230,385 and 495,753

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Solution

The third proportional to 230,385 and 495,753 is: 1,066,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,385 : 495,753 = 495,753 : x
  2. Step 2: Convert to fraction form
    230,385/495,753 = 495,753/x
  3. Step 3: Cross multiply
    230,385x = 495,753 × 495,753
  4. Step 4: Simplify right side
    230,385x = 245,771,037,009
  5. Step 5: Solve for x
    x = 245,771,037,009/230,385
  6. Step 6: Final answer
    x = 1,066,784.02

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Why These Related Problems?

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