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Finding the Third Proportional to 493,740.75 and 737,381.25

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Solution

The third proportional to 493,740.75 and 737,381.25 is: 1,101,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,740.75 : 737,381.25 = 737,381.25 : x
  2. Step 2: Convert to fraction form
    493,740.75/737,381.25 = 737,381.25/x
  3. Step 3: Cross multiply
    493,740.75x = 737,381.25 × 737,381.25
  4. Step 4: Simplify right side
    493,740.75x = 543,731,107,851.56
  5. Step 5: Solve for x
    x = 543,731,107,851.56/493,740.75
  6. Step 6: Final answer
    x = 1,101,248.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.