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Finding the Third Proportional to 643,259.56 and 943,404.67

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Solution

The third proportional to 643,259.56 and 943,404.67 is: 1,383,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,259.56 : 943,404.67 = 943,404.67 : x
  2. Step 2: Convert to fraction form
    643,259.56/943,404.67 = 943,404.67/x
  3. Step 3: Cross multiply
    643,259.56x = 943,404.67 × 943,404.67
  4. Step 4: Simplify right side
    643,259.56x = 890,012,364,781.37
  5. Step 5: Solve for x
    x = 890,012,364,781.37/643,259.56
  6. Step 6: Final answer
    x = 1,383,597.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.