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Finding the Third Proportional to 622,309.50 and 961,098.75

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Solution

The third proportional to 622,309.50 and 961,098.75 is: 1,484,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,309.50 : 961,098.75 = 961,098.75 : x
  2. Step 2: Convert to fraction form
    622,309.50/961,098.75 = 961,098.75/x
  3. Step 3: Cross multiply
    622,309.50x = 961,098.75 × 961,098.75
  4. Step 4: Simplify right side
    622,309.50x = 923,710,807,251.56
  5. Step 5: Solve for x
    x = 923,710,807,251.56/622,309.50
  6. Step 6: Final answer
    x = 1,484,327.02

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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.