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Finding the Third Proportional to 342,882 and 543,386.25

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Solution

The third proportional to 342,882 and 543,386.25 is: 861,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,882 : 543,386.25 = 543,386.25 : x
  2. Step 2: Convert to fraction form
    342,882/543,386.25 = 543,386.25/x
  3. Step 3: Cross multiply
    342,882x = 543,386.25 × 543,386.25
  4. Step 4: Simplify right side
    342,882x = 295,268,616,689.06
  5. Step 5: Solve for x
    x = 295,268,616,689.06/342,882
  6. Step 6: Final answer
    x = 861,137.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.