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Finding the Third Proportional to 557,346.75 and 775,513.13

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Solution

The third proportional to 557,346.75 and 775,513.13 is: 1,079,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,346.75 : 775,513.13 = 775,513.13 : x
  2. Step 2: Convert to fraction form
    557,346.75/775,513.13 = 775,513.13/x
  3. Step 3: Cross multiply
    557,346.75x = 775,513.13 × 775,513.13
  4. Step 4: Simplify right side
    557,346.75x = 601,420,607,047.27
  5. Step 5: Solve for x
    x = 601,420,607,047.27/557,346.75
  6. Step 6: Final answer
    x = 1,079,077.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.