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Finding the Third Proportional to 646,273.50 and 986,906.25

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Solution

The third proportional to 646,273.50 and 986,906.25 is: 1,507,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,273.50 : 986,906.25 = 986,906.25 : x
  2. Step 2: Convert to fraction form
    646,273.50/986,906.25 = 986,906.25/x
  3. Step 3: Cross multiply
    646,273.50x = 986,906.25 × 986,906.25
  4. Step 4: Simplify right side
    646,273.50x = 973,983,946,289.06
  5. Step 5: Solve for x
    x = 973,983,946,289.06/646,273.50
  6. Step 6: Final answer
    x = 1,507,077.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.