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Finding the Third Proportional to 286,098 and 388,559

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Solution

The third proportional to 286,098 and 388,559 is: 527,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098 : 388,559 = 388,559 : x
  2. Step 2: Convert to fraction form
    286,098/388,559 = 388,559/x
  3. Step 3: Cross multiply
    286,098x = 388,559 × 388,559
  4. Step 4: Simplify right side
    286,098x = 150,978,096,481
  5. Step 5: Solve for x
    x = 150,978,096,481/286,098
  6. Step 6: Final answer
    x = 527,714.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.