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Finding the Third Proportional to 351,056 and 529,686

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Solution

The third proportional to 351,056 and 529,686 is: 799,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,056 : 529,686 = 529,686 : x
  2. Step 2: Convert to fraction form
    351,056/529,686 = 529,686/x
  3. Step 3: Cross multiply
    351,056x = 529,686 × 529,686
  4. Step 4: Simplify right side
    351,056x = 280,567,258,596
  5. Step 5: Solve for x
    x = 280,567,258,596/351,056
  6. Step 6: Final answer
    x = 799,209.41

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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.