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Finding the Third Proportional to 583,453.97 and 786,538.69

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Solution

The third proportional to 583,453.97 and 786,538.69 is: 1,060,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,453.97 : 786,538.69 = 786,538.69 : x
  2. Step 2: Convert to fraction form
    583,453.97/786,538.69 = 786,538.69/x
  3. Step 3: Cross multiply
    583,453.97x = 786,538.69 × 786,538.69
  4. Step 4: Simplify right side
    583,453.97x = 618,643,106,934.22
  5. Step 5: Solve for x
    x = 618,643,106,934.22/583,453.97
  6. Step 6: Final answer
    x = 1,060,311.76

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.