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Finding the Third Proportional to 351,046 and 529,671

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Solution

The third proportional to 351,046 and 529,671 is: 799,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,046 : 529,671 = 529,671 : x
  2. Step 2: Convert to fraction form
    351,046/529,671 = 529,671/x
  3. Step 3: Cross multiply
    351,046x = 529,671 × 529,671
  4. Step 4: Simplify right side
    351,046x = 280,551,368,241
  5. Step 5: Solve for x
    x = 280,551,368,241/351,046
  6. Step 6: Final answer
    x = 799,186.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.