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Finding the Third Proportional to 351,918 and 527,445

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Solution

The third proportional to 351,918 and 527,445 is: 790,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,918 : 527,445 = 527,445 : x
  2. Step 2: Convert to fraction form
    351,918/527,445 = 527,445/x
  3. Step 3: Cross multiply
    351,918x = 527,445 × 527,445
  4. Step 4: Simplify right side
    351,918x = 278,198,228,025
  5. Step 5: Solve for x
    x = 278,198,228,025/351,918
  6. Step 6: Final answer
    x = 790,520.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.