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Finding the Third Proportional to 228,308 and 495,521

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Solution

The third proportional to 228,308 and 495,521 is: 1,075,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,308 : 495,521 = 495,521 : x
  2. Step 2: Convert to fraction form
    228,308/495,521 = 495,521/x
  3. Step 3: Cross multiply
    228,308x = 495,521 × 495,521
  4. Step 4: Simplify right side
    228,308x = 245,541,061,441
  5. Step 5: Solve for x
    x = 245,541,061,441/228,308
  6. Step 6: Final answer
    x = 1,075,481.64

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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.