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Finding the Third Proportional to 554,976.75 and 830,235

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Solution

The third proportional to 554,976.75 and 830,235 is: 1,242,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,976.75 : 830,235 = 830,235 : x
  2. Step 2: Convert to fraction form
    554,976.75/830,235 = 830,235/x
  3. Step 3: Cross multiply
    554,976.75x = 830,235 × 830,235
  4. Step 4: Simplify right side
    554,976.75x = 689,290,155,225
  5. Step 5: Solve for x
    x = 689,290,155,225/554,976.75
  6. Step 6: Final answer
    x = 1,242,016.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.