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Finding the Third Proportional to 228,535 and 495,205

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Solution

The third proportional to 228,535 and 495,205 is: 1,073,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,535 : 495,205 = 495,205 : x
  2. Step 2: Convert to fraction form
    228,535/495,205 = 495,205/x
  3. Step 3: Cross multiply
    228,535x = 495,205 × 495,205
  4. Step 4: Simplify right side
    228,535x = 245,227,992,025
  5. Step 5: Solve for x
    x = 245,227,992,025/228,535
  6. Step 6: Final answer
    x = 1,073,043.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.