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Finding the Third Proportional to 548,799 and 780,084

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Solution

The third proportional to 548,799 and 780,084 is: 1,108,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,799 : 780,084 = 780,084 : x
  2. Step 2: Convert to fraction form
    548,799/780,084 = 780,084/x
  3. Step 3: Cross multiply
    548,799x = 780,084 × 780,084
  4. Step 4: Simplify right side
    548,799x = 608,531,047,056
  5. Step 5: Solve for x
    x = 608,531,047,056/548,799
  6. Step 6: Final answer
    x = 1,108,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.