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Finding the Third Proportional to 498,870 and 760,760.25

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Solution

The third proportional to 498,870 and 760,760.25 is: 1,160,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,870 : 760,760.25 = 760,760.25 : x
  2. Step 2: Convert to fraction form
    498,870/760,760.25 = 760,760.25/x
  3. Step 3: Cross multiply
    498,870x = 760,760.25 × 760,760.25
  4. Step 4: Simplify right side
    498,870x = 578,756,157,980.06
  5. Step 5: Solve for x
    x = 578,756,157,980.06/498,870
  6. Step 6: Final answer
    x = 1,160,134.22

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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.