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Finding the Third Proportional to 527,220.56 and 798,226.31

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Solution

The third proportional to 527,220.56 and 798,226.31 is: 1,208,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,220.56 : 798,226.31 = 798,226.31 : x
  2. Step 2: Convert to fraction form
    527,220.56/798,226.31 = 798,226.31/x
  3. Step 3: Cross multiply
    527,220.56x = 798,226.31 × 798,226.31
  4. Step 4: Simplify right side
    527,220.56x = 637,165,245,967.35
  5. Step 5: Solve for x
    x = 637,165,245,967.35/527,220.56
  6. Step 6: Final answer
    x = 1,208,536.41

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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.