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Finding the Third Proportional to 351,520 and 829,462

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Solution

The third proportional to 351,520 and 829,462 is: 1,957,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,520 : 829,462 = 829,462 : x
  2. Step 2: Convert to fraction form
    351,520/829,462 = 829,462/x
  3. Step 3: Cross multiply
    351,520x = 829,462 × 829,462
  4. Step 4: Simplify right side
    351,520x = 688,007,209,444
  5. Step 5: Solve for x
    x = 688,007,209,444/351,520
  6. Step 6: Final answer
    x = 1,957,234.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.