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Finding the Third Proportional to 179,822 and 388,804

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Solution

The third proportional to 179,822 and 388,804 is: 840,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,822 : 388,804 = 388,804 : x
  2. Step 2: Convert to fraction form
    179,822/388,804 = 388,804/x
  3. Step 3: Cross multiply
    179,822x = 388,804 × 388,804
  4. Step 4: Simplify right side
    179,822x = 151,168,550,416
  5. Step 5: Solve for x
    x = 151,168,550,416/179,822
  6. Step 6: Final answer
    x = 840,656.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.