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Finding the Third Proportional to 527,233 and 798,244

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Solution

The third proportional to 527,233 and 798,244 is: 1,208,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,233 : 798,244 = 798,244 : x
  2. Step 2: Convert to fraction form
    527,233/798,244 = 798,244/x
  3. Step 3: Cross multiply
    527,233x = 798,244 × 798,244
  4. Step 4: Simplify right side
    527,233x = 637,193,483,536
  5. Step 5: Solve for x
    x = 637,193,483,536/527,233
  6. Step 6: Final answer
    x = 1,208,561.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.