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Finding the Third Proportional to 339,448 and 731,360

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Solution

The third proportional to 339,448 and 731,360 is: 1,575,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,448 : 731,360 = 731,360 : x
  2. Step 2: Convert to fraction form
    339,448/731,360 = 731,360/x
  3. Step 3: Cross multiply
    339,448x = 731,360 × 731,360
  4. Step 4: Simplify right side
    339,448x = 534,887,449,600
  5. Step 5: Solve for x
    x = 534,887,449,600/339,448
  6. Step 6: Final answer
    x = 1,575,756.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.