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Finding the Third Proportional to 345,251 and 529,905

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Solution

The third proportional to 345,251 and 529,905 is: 813,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,251 : 529,905 = 529,905 : x
  2. Step 2: Convert to fraction form
    345,251/529,905 = 529,905/x
  3. Step 3: Cross multiply
    345,251x = 529,905 × 529,905
  4. Step 4: Simplify right side
    345,251x = 280,799,309,025
  5. Step 5: Solve for x
    x = 280,799,309,025/345,251
  6. Step 6: Final answer
    x = 813,319.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.