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Finding the Third Proportional to 488,274.75 and 746,482.50

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Solution

The third proportional to 488,274.75 and 746,482.50 is: 1,141,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,274.75 : 746,482.50 = 746,482.50 : x
  2. Step 2: Convert to fraction form
    488,274.75/746,482.50 = 746,482.50/x
  3. Step 3: Cross multiply
    488,274.75x = 746,482.50 × 746,482.50
  4. Step 4: Simplify right side
    488,274.75x = 557,236,122,806.25
  5. Step 5: Solve for x
    x = 557,236,122,806.25/488,274.75
  6. Step 6: Final answer
    x = 1,141,234.77

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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.