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Finding the Third Proportional to 325,072.69 and 431,335.13

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Solution

The third proportional to 325,072.69 and 431,335.13 is: 572,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,072.69 : 431,335.13 = 431,335.13 : x
  2. Step 2: Convert to fraction form
    325,072.69/431,335.13 = 431,335.13/x
  3. Step 3: Cross multiply
    325,072.69x = 431,335.13 × 431,335.13
  4. Step 4: Simplify right side
    325,072.69x = 186,049,990,058.77
  5. Step 5: Solve for x
    x = 186,049,990,058.77/325,072.69
  6. Step 6: Final answer
    x = 572,333.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.