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Finding the Third Proportional to 248,266 and 531,523

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Solution

The third proportional to 248,266 and 531,523 is: 1,137,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,266 : 531,523 = 531,523 : x
  2. Step 2: Convert to fraction form
    248,266/531,523 = 531,523/x
  3. Step 3: Cross multiply
    248,266x = 531,523 × 531,523
  4. Step 4: Simplify right side
    248,266x = 282,516,699,529
  5. Step 5: Solve for x
    x = 282,516,699,529/248,266
  6. Step 6: Final answer
    x = 1,137,959.69

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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.