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Finding the Third Proportional to 486,109.50 and 760,826.25

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Solution

The third proportional to 486,109.50 and 760,826.25 is: 1,190,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,109.50 : 760,826.25 = 760,826.25 : x
  2. Step 2: Convert to fraction form
    486,109.50/760,826.25 = 760,826.25/x
  3. Step 3: Cross multiply
    486,109.50x = 760,826.25 × 760,826.25
  4. Step 4: Simplify right side
    486,109.50x = 578,856,582,689.06
  5. Step 5: Solve for x
    x = 578,856,582,689.06/486,109.50
  6. Step 6: Final answer
    x = 1,190,794.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.