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Finding the Third Proportional to 498,858 and 760,741.50

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Solution

The third proportional to 498,858 and 760,741.50 is: 1,160,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,858 : 760,741.50 = 760,741.50 : x
  2. Step 2: Convert to fraction form
    498,858/760,741.50 = 760,741.50/x
  3. Step 3: Cross multiply
    498,858x = 760,741.50 × 760,741.50
  4. Step 4: Simplify right side
    498,858x = 578,727,629,822.25
  5. Step 5: Solve for x
    x = 578,727,629,822.25/498,858
  6. Step 6: Final answer
    x = 1,160,104.94

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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.