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Finding the Third Proportional to 248,716 and 532,892

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Solution

The third proportional to 248,716 and 532,892 is: 1,141,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,716 : 532,892 = 532,892 : x
  2. Step 2: Convert to fraction form
    248,716/532,892 = 532,892/x
  3. Step 3: Cross multiply
    248,716x = 532,892 × 532,892
  4. Step 4: Simplify right side
    248,716x = 283,973,883,664
  5. Step 5: Solve for x
    x = 283,973,883,664/248,716
  6. Step 6: Final answer
    x = 1,141,759.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.