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Finding the Third Proportional to 578,888 and 894,574

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Solution

The third proportional to 578,888 and 894,574 is: 1,382,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,888 : 894,574 = 894,574 : x
  2. Step 2: Convert to fraction form
    578,888/894,574 = 894,574/x
  3. Step 3: Cross multiply
    578,888x = 894,574 × 894,574
  4. Step 4: Simplify right side
    578,888x = 800,262,641,476
  5. Step 5: Solve for x
    x = 800,262,641,476/578,888
  6. Step 6: Final answer
    x = 1,382,413.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.