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Finding the Third Proportional to 310,022 and 735,140

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Solution

The third proportional to 310,022 and 735,140 is: 1,743,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,022 : 735,140 = 735,140 : x
  2. Step 2: Convert to fraction form
    310,022/735,140 = 735,140/x
  3. Step 3: Cross multiply
    310,022x = 735,140 × 735,140
  4. Step 4: Simplify right side
    310,022x = 540,430,819,600
  5. Step 5: Solve for x
    x = 540,430,819,600/310,022
  6. Step 6: Final answer
    x = 1,743,201.51

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.