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Finding the Third Proportional to 227,584 and 495,284

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Solution

The third proportional to 227,584 and 495,284 is: 1,077,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,584 : 495,284 = 495,284 : x
  2. Step 2: Convert to fraction form
    227,584/495,284 = 495,284/x
  3. Step 3: Cross multiply
    227,584x = 495,284 × 495,284
  4. Step 4: Simplify right side
    227,584x = 245,306,240,656
  5. Step 5: Solve for x
    x = 245,306,240,656/227,584
  6. Step 6: Final answer
    x = 1,077,871.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.