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Finding the Third Proportional to 622,437.75 and 961,301.25

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Solution

The third proportional to 622,437.75 and 961,301.25 is: 1,484,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,437.75 : 961,301.25 = 961,301.25 : x
  2. Step 2: Convert to fraction form
    622,437.75/961,301.25 = 961,301.25/x
  3. Step 3: Cross multiply
    622,437.75x = 961,301.25 × 961,301.25
  4. Step 4: Simplify right side
    622,437.75x = 924,100,093,251.56
  5. Step 5: Solve for x
    x = 924,100,093,251.56/622,437.75
  6. Step 6: Final answer
    x = 1,484,646.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.