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Finding the Third Proportional to 651,765.75 and 954,315.75

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Solution

The third proportional to 651,765.75 and 954,315.75 is: 1,397,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,765.75 : 954,315.75 = 954,315.75 : x
  2. Step 2: Convert to fraction form
    651,765.75/954,315.75 = 954,315.75/x
  3. Step 3: Cross multiply
    651,765.75x = 954,315.75 × 954,315.75
  4. Step 4: Simplify right side
    651,765.75x = 910,718,550,698.06
  5. Step 5: Solve for x
    x = 910,718,550,698.06/651,765.75
  6. Step 6: Final answer
    x = 1,397,309.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.