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Finding the Third Proportional to 248,708 and 532,904

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Solution

The third proportional to 248,708 and 532,904 is: 1,141,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,708 : 532,904 = 532,904 : x
  2. Step 2: Convert to fraction form
    248,708/532,904 = 532,904/x
  3. Step 3: Cross multiply
    248,708x = 532,904 × 532,904
  4. Step 4: Simplify right side
    248,708x = 283,986,673,216
  5. Step 5: Solve for x
    x = 283,986,673,216/248,708
  6. Step 6: Final answer
    x = 1,141,847.76

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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.