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Finding the Third Proportional to 621,290.25 and 982,003.50

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Solution

The third proportional to 621,290.25 and 982,003.50 is: 1,552,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,290.25 : 982,003.50 = 982,003.50 : x
  2. Step 2: Convert to fraction form
    621,290.25/982,003.50 = 982,003.50/x
  3. Step 3: Cross multiply
    621,290.25x = 982,003.50 × 982,003.50
  4. Step 4: Simplify right side
    621,290.25x = 964,330,874,012.25
  5. Step 5: Solve for x
    x = 964,330,874,012.25/621,290.25
  6. Step 6: Final answer
    x = 1,552,142.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.