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Finding the Third Proportional to 498,120.50 and 778,285

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Solution

The third proportional to 498,120.50 and 778,285 is: 1,216,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,120.50 : 778,285 = 778,285 : x
  2. Step 2: Convert to fraction form
    498,120.50/778,285 = 778,285/x
  3. Step 3: Cross multiply
    498,120.50x = 778,285 × 778,285
  4. Step 4: Simplify right side
    498,120.50x = 605,727,541,225
  5. Step 5: Solve for x
    x = 605,727,541,225/498,120.50
  6. Step 6: Final answer
    x = 1,216,026.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.