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Finding the Third Proportional to 227,574 and 495,277

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Solution

The third proportional to 227,574 and 495,277 is: 1,077,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,574 : 495,277 = 495,277 : x
  2. Step 2: Convert to fraction form
    227,574/495,277 = 495,277/x
  3. Step 3: Cross multiply
    227,574x = 495,277 × 495,277
  4. Step 4: Simplify right side
    227,574x = 245,299,306,729
  5. Step 5: Solve for x
    x = 245,299,306,729/227,574
  6. Step 6: Final answer
    x = 1,077,888.10

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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.