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Finding the Third Proportional to 351,072 and 529,700

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Solution

The third proportional to 351,072 and 529,700 is: 799,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,072 : 529,700 = 529,700 : x
  2. Step 2: Convert to fraction form
    351,072/529,700 = 529,700/x
  3. Step 3: Cross multiply
    351,072x = 529,700 × 529,700
  4. Step 4: Simplify right side
    351,072x = 280,582,090,000
  5. Step 5: Solve for x
    x = 280,582,090,000/351,072
  6. Step 6: Final answer
    x = 799,215.23

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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.