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Finding the Third Proportional to 504,536.06 and 782,022.94

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Solution

The third proportional to 504,536.06 and 782,022.94 is: 1,212,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,536.06 : 782,022.94 = 782,022.94 : x
  2. Step 2: Convert to fraction form
    504,536.06/782,022.94 = 782,022.94/x
  3. Step 3: Cross multiply
    504,536.06x = 782,022.94 × 782,022.94
  4. Step 4: Simplify right side
    504,536.06x = 611,559,874,776.13
  5. Step 5: Solve for x
    x = 611,559,874,776.13/504,536.06
  6. Step 6: Final answer
    x = 1,212,123.22

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