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Finding the Third Proportional to 504,544.50 and 782,037

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Solution

The third proportional to 504,544.50 and 782,037 is: 1,212,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,544.50 : 782,037 = 782,037 : x
  2. Step 2: Convert to fraction form
    504,544.50/782,037 = 782,037/x
  3. Step 3: Cross multiply
    504,544.50x = 782,037 × 782,037
  4. Step 4: Simplify right side
    504,544.50x = 611,581,869,369
  5. Step 5: Solve for x
    x = 611,581,869,369/504,544.50
  6. Step 6: Final answer
    x = 1,212,146.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.