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Finding the Third Proportional to 248,714 and 532,888

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Solution

The third proportional to 248,714 and 532,888 is: 1,141,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,714 : 532,888 = 532,888 : x
  2. Step 2: Convert to fraction form
    248,714/532,888 = 532,888/x
  3. Step 3: Cross multiply
    248,714x = 532,888 × 532,888
  4. Step 4: Simplify right side
    248,714x = 283,969,620,544
  5. Step 5: Solve for x
    x = 283,969,620,544/248,714
  6. Step 6: Final answer
    x = 1,141,751.65

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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.