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Finding the Third Proportional to 248,710 and 532,880

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Solution

The third proportional to 248,710 and 532,880 is: 1,141,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,710 : 532,880 = 532,880 : x
  2. Step 2: Convert to fraction form
    248,710/532,880 = 532,880/x
  3. Step 3: Cross multiply
    248,710x = 532,880 × 532,880
  4. Step 4: Simplify right side
    248,710x = 283,961,094,400
  5. Step 5: Solve for x
    x = 283,961,094,400/248,710
  6. Step 6: Final answer
    x = 1,141,735.73

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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.