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Finding the Third Proportional to 241,275.38 and 529,814.25

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Solution

The third proportional to 241,275.38 and 529,814.25 is: 1,163,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,275.38 : 529,814.25 = 529,814.25 : x
  2. Step 2: Convert to fraction form
    241,275.38/529,814.25 = 529,814.25/x
  3. Step 3: Cross multiply
    241,275.38x = 529,814.25 × 529,814.25
  4. Step 4: Simplify right side
    241,275.38x = 280,703,139,503.06
  5. Step 5: Solve for x
    x = 280,703,139,503.06/241,275.38
  6. Step 6: Final answer
    x = 1,163,413.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.