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Finding the Third Proportional to 481,557 and 735,157.50

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Solution

The third proportional to 481,557 and 735,157.50 is: 1,122,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,557 : 735,157.50 = 735,157.50 : x
  2. Step 2: Convert to fraction form
    481,557/735,157.50 = 735,157.50/x
  3. Step 3: Cross multiply
    481,557x = 735,157.50 × 735,157.50
  4. Step 4: Simplify right side
    481,557x = 540,456,549,806.25
  5. Step 5: Solve for x
    x = 540,456,549,806.25/481,557
  6. Step 6: Final answer
    x = 1,122,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.