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Finding the Third Proportional to 272,380 and 596,436

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Solution

The third proportional to 272,380 and 596,436 is: 1,306,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,380 : 596,436 = 596,436 : x
  2. Step 2: Convert to fraction form
    272,380/596,436 = 596,436/x
  3. Step 3: Cross multiply
    272,380x = 596,436 × 596,436
  4. Step 4: Simplify right side
    272,380x = 355,735,902,096
  5. Step 5: Solve for x
    x = 355,735,902,096/272,380
  6. Step 6: Final answer
    x = 1,306,027.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.