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Finding the Third Proportional to 240,174 and 522,630

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Solution

The third proportional to 240,174 and 522,630 is: 1,137,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,174 : 522,630 = 522,630 : x
  2. Step 2: Convert to fraction form
    240,174/522,630 = 522,630/x
  3. Step 3: Cross multiply
    240,174x = 522,630 × 522,630
  4. Step 4: Simplify right side
    240,174x = 273,142,116,900
  5. Step 5: Solve for x
    x = 273,142,116,900/240,174
  6. Step 6: Final answer
    x = 1,137,267.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.