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Finding the Third Proportional to 498,867 and 760,756.50

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Solution

The third proportional to 498,867 and 760,756.50 is: 1,160,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,867 : 760,756.50 = 760,756.50 : x
  2. Step 2: Convert to fraction form
    498,867/760,756.50 = 760,756.50/x
  3. Step 3: Cross multiply
    498,867x = 760,756.50 × 760,756.50
  4. Step 4: Simplify right side
    498,867x = 578,750,452,292.25
  5. Step 5: Solve for x
    x = 578,750,452,292.25/498,867
  6. Step 6: Final answer
    x = 1,160,129.76

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.