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Finding the Third Proportional to 564,678 and 804,930.75

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Solution

The third proportional to 564,678 and 804,930.75 is: 1,147,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,678 : 804,930.75 = 804,930.75 : x
  2. Step 2: Convert to fraction form
    564,678/804,930.75 = 804,930.75/x
  3. Step 3: Cross multiply
    564,678x = 804,930.75 × 804,930.75
  4. Step 4: Simplify right side
    564,678x = 647,913,512,295.56
  5. Step 5: Solve for x
    x = 647,913,512,295.56/564,678
  6. Step 6: Final answer
    x = 1,147,403.50

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.