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Finding the Third Proportional to 240,055.50 and 523,311

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Solution

The third proportional to 240,055.50 and 523,311 is: 1,140,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,055.50 : 523,311 = 523,311 : x
  2. Step 2: Convert to fraction form
    240,055.50/523,311 = 523,311/x
  3. Step 3: Cross multiply
    240,055.50x = 523,311 × 523,311
  4. Step 4: Simplify right side
    240,055.50x = 273,854,402,721
  5. Step 5: Solve for x
    x = 273,854,402,721/240,055.50
  6. Step 6: Final answer
    x = 1,140,796.20

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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.