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Finding the Third Proportional to 180,600 and 426,360

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Solution

The third proportional to 180,600 and 426,360 is: 1,006,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,600 : 426,360 = 426,360 : x
  2. Step 2: Convert to fraction form
    180,600/426,360 = 426,360/x
  3. Step 3: Cross multiply
    180,600x = 426,360 × 426,360
  4. Step 4: Simplify right side
    180,600x = 181,782,849,600
  5. Step 5: Solve for x
    x = 181,782,849,600/180,600
  6. Step 6: Final answer
    x = 1,006,549.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.