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Finding the Third Proportional to 371,972.25 and 810,374.63

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Solution

The third proportional to 371,972.25 and 810,374.63 is: 1,765,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,972.25 : 810,374.63 = 810,374.63 : x
  2. Step 2: Convert to fraction form
    371,972.25/810,374.63 = 810,374.63/x
  3. Step 3: Cross multiply
    371,972.25x = 810,374.63 × 810,374.63
  4. Step 4: Simplify right side
    371,972.25x = 656,707,032,843.89
  5. Step 5: Solve for x
    x = 656,707,032,843.89/371,972.25
  6. Step 6: Final answer
    x = 1,765,473.18

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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.