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Finding the Third Proportional to 237,920 and 495,576

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Solution

The third proportional to 237,920 and 495,576 is: 1,032,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 495,576 = 495,576 : x
  2. Step 2: Convert to fraction form
    237,920/495,576 = 495,576/x
  3. Step 3: Cross multiply
    237,920x = 495,576 × 495,576
  4. Step 4: Simplify right side
    237,920x = 245,595,571,776
  5. Step 5: Solve for x
    x = 245,595,571,776/237,920
  6. Step 6: Final answer
    x = 1,032,261.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.