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Finding the Third Proportional to 362,000 and 532,456

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Solution

The third proportional to 362,000 and 532,456 is: 783,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,000 : 532,456 = 532,456 : x
  2. Step 2: Convert to fraction form
    362,000/532,456 = 532,456/x
  3. Step 3: Cross multiply
    362,000x = 532,456 × 532,456
  4. Step 4: Simplify right side
    362,000x = 283,509,391,936
  5. Step 5: Solve for x
    x = 283,509,391,936/362,000
  6. Step 6: Final answer
    x = 783,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.