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Finding the Third Proportional to 554,100 and 739,494

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Solution

The third proportional to 554,100 and 739,494 is: 986,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,100 : 739,494 = 739,494 : x
  2. Step 2: Convert to fraction form
    554,100/739,494 = 739,494/x
  3. Step 3: Cross multiply
    554,100x = 739,494 × 739,494
  4. Step 4: Simplify right side
    554,100x = 546,851,376,036
  5. Step 5: Solve for x
    x = 546,851,376,036/554,100
  6. Step 6: Final answer
    x = 986,918.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.