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Finding the Third Proportional to 481,312.50 and 739,878

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Solution

The third proportional to 481,312.50 and 739,878 is: 1,137,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,312.50 : 739,878 = 739,878 : x
  2. Step 2: Convert to fraction form
    481,312.50/739,878 = 739,878/x
  3. Step 3: Cross multiply
    481,312.50x = 739,878 × 739,878
  4. Step 4: Simplify right side
    481,312.50x = 547,419,454,884
  5. Step 5: Solve for x
    x = 547,419,454,884/481,312.50
  6. Step 6: Final answer
    x = 1,137,347.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.