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Finding the Third Proportional to 228,457 and 495,048

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Solution

The third proportional to 228,457 and 495,048 is: 1,072,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,457 : 495,048 = 495,048 : x
  2. Step 2: Convert to fraction form
    228,457/495,048 = 495,048/x
  3. Step 3: Cross multiply
    228,457x = 495,048 × 495,048
  4. Step 4: Simplify right side
    228,457x = 245,072,522,304
  5. Step 5: Solve for x
    x = 245,072,522,304/228,457
  6. Step 6: Final answer
    x = 1,072,729.32

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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.