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Finding the Third Proportional to 432,095.25 and 622,405.13

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Solution

The third proportional to 432,095.25 and 622,405.13 is: 896,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,095.25 : 622,405.13 = 622,405.13 : x
  2. Step 2: Convert to fraction form
    432,095.25/622,405.13 = 622,405.13/x
  3. Step 3: Cross multiply
    432,095.25x = 622,405.13 × 622,405.13
  4. Step 4: Simplify right side
    432,095.25x = 387,388,139,626.27
  5. Step 5: Solve for x
    x = 387,388,139,626.27/432,095.25
  6. Step 6: Final answer
    x = 896,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.