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Finding the Third Proportional to 351,054 and 529,683

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Solution

The third proportional to 351,054 and 529,683 is: 799,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,054 : 529,683 = 529,683 : x
  2. Step 2: Convert to fraction form
    351,054/529,683 = 529,683/x
  3. Step 3: Cross multiply
    351,054x = 529,683 × 529,683
  4. Step 4: Simplify right side
    351,054x = 280,564,080,489
  5. Step 5: Solve for x
    x = 280,564,080,489/351,054
  6. Step 6: Final answer
    x = 799,204.91

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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.