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Finding the Third Proportional to 288,594 and 393,147

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Solution

The third proportional to 288,594 and 393,147 is: 535,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,594 : 393,147 = 393,147 : x
  2. Step 2: Convert to fraction form
    288,594/393,147 = 393,147/x
  3. Step 3: Cross multiply
    288,594x = 393,147 × 393,147
  4. Step 4: Simplify right side
    288,594x = 154,564,563,609
  5. Step 5: Solve for x
    x = 154,564,563,609/288,594
  6. Step 6: Final answer
    x = 535,577.88

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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.