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Finding the Third Proportional to 492,167 and 771,055.38

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Solution

The third proportional to 492,167 and 771,055.38 is: 1,207,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,167 : 771,055.38 = 771,055.38 : x
  2. Step 2: Convert to fraction form
    492,167/771,055.38 = 771,055.38/x
  3. Step 3: Cross multiply
    492,167x = 771,055.38 × 771,055.38
  4. Step 4: Simplify right side
    492,167x = 594,526,391,316.39
  5. Step 5: Solve for x
    x = 594,526,391,316.39/492,167
  6. Step 6: Final answer
    x = 1,207,976.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.