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Finding the Third Proportional to 227,570 and 495,253

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Solution

The third proportional to 227,570 and 495,253 is: 1,077,802.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,570 : 495,253 = 495,253 : x
  2. Step 2: Convert to fraction form
    227,570/495,253 = 495,253/x
  3. Step 3: Cross multiply
    227,570x = 495,253 × 495,253
  4. Step 4: Simplify right side
    227,570x = 245,275,534,009
  5. Step 5: Solve for x
    x = 245,275,534,009/227,570
  6. Step 6: Final answer
    x = 1,077,802.58

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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.