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Finding the Third Proportional to 374,240.25 and 802,062

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Solution

The third proportional to 374,240.25 and 802,062 is: 1,718,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,240.25 : 802,062 = 802,062 : x
  2. Step 2: Convert to fraction form
    374,240.25/802,062 = 802,062/x
  3. Step 3: Cross multiply
    374,240.25x = 802,062 × 802,062
  4. Step 4: Simplify right side
    374,240.25x = 643,303,451,844
  5. Step 5: Solve for x
    x = 643,303,451,844/374,240.25
  6. Step 6: Final answer
    x = 1,718,958.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.