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Finding the Third Proportional to 371,926.69 and 838,577.81

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Solution

The third proportional to 371,926.69 and 838,577.81 is: 1,890,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,926.69 : 838,577.81 = 838,577.81 : x
  2. Step 2: Convert to fraction form
    371,926.69/838,577.81 = 838,577.81/x
  3. Step 3: Cross multiply
    371,926.69x = 838,577.81 × 838,577.81
  4. Step 4: Simplify right side
    371,926.69x = 703,212,747,617.29
  5. Step 5: Solve for x
    x = 703,212,747,617.29/371,926.69
  6. Step 6: Final answer
    x = 1,890,729.47

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.