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Finding the Third Proportional to 499,473 and 811,492.50

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Solution

The third proportional to 499,473 and 811,492.50 is: 1,318,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,473 : 811,492.50 = 811,492.50 : x
  2. Step 2: Convert to fraction form
    499,473/811,492.50 = 811,492.50/x
  3. Step 3: Cross multiply
    499,473x = 811,492.50 × 811,492.50
  4. Step 4: Simplify right side
    499,473x = 658,520,077,556.25
  5. Step 5: Solve for x
    x = 658,520,077,556.25/499,473
  6. Step 6: Final answer
    x = 1,318,429.78

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.