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Finding the Third Proportional to 237,720 and 495,360

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Solution

The third proportional to 237,720 and 495,360 is: 1,032,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,720 : 495,360 = 495,360 : x
  2. Step 2: Convert to fraction form
    237,720/495,360 = 495,360/x
  3. Step 3: Cross multiply
    237,720x = 495,360 × 495,360
  4. Step 4: Simplify right side
    237,720x = 245,381,529,600
  5. Step 5: Solve for x
    x = 245,381,529,600/237,720
  6. Step 6: Final answer
    x = 1,032,229.22

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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.