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Finding the Third Proportional to 248,715 and 532,917

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Solution

The third proportional to 248,715 and 532,917 is: 1,141,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,715 : 532,917 = 532,917 : x
  2. Step 2: Convert to fraction form
    248,715/532,917 = 532,917/x
  3. Step 3: Cross multiply
    248,715x = 532,917 × 532,917
  4. Step 4: Simplify right side
    248,715x = 284,000,528,889
  5. Step 5: Solve for x
    x = 284,000,528,889/248,715
  6. Step 6: Final answer
    x = 1,141,871.33

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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.