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Finding the Third Proportional to 248,734 and 532,958

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Solution

The third proportional to 248,734 and 532,958 is: 1,141,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,734 : 532,958 = 532,958 : x
  2. Step 2: Convert to fraction form
    248,734/532,958 = 532,958/x
  3. Step 3: Cross multiply
    248,734x = 532,958 × 532,958
  4. Step 4: Simplify right side
    248,734x = 284,044,229,764
  5. Step 5: Solve for x
    x = 284,044,229,764/248,734
  6. Step 6: Final answer
    x = 1,141,959.80

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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.