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Finding the Third Proportional to 402,274.50 and 881,357.50

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Solution

The third proportional to 402,274.50 and 881,357.50 is: 1,930,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,274.50 : 881,357.50 = 881,357.50 : x
  2. Step 2: Convert to fraction form
    402,274.50/881,357.50 = 881,357.50/x
  3. Step 3: Cross multiply
    402,274.50x = 881,357.50 × 881,357.50
  4. Step 4: Simplify right side
    402,274.50x = 776,791,042,806.25
  5. Step 5: Solve for x
    x = 776,791,042,806.25/402,274.50
  6. Step 6: Final answer
    x = 1,930,997.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.