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Finding the Third Proportional to 339,459.75 and 734,047.50

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Solution

The third proportional to 339,459.75 and 734,047.50 is: 1,587,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,459.75 : 734,047.50 = 734,047.50 : x
  2. Step 2: Convert to fraction form
    339,459.75/734,047.50 = 734,047.50/x
  3. Step 3: Cross multiply
    339,459.75x = 734,047.50 × 734,047.50
  4. Step 4: Simplify right side
    339,459.75x = 538,825,732,256.25
  5. Step 5: Solve for x
    x = 538,825,732,256.25/339,459.75
  6. Step 6: Final answer
    x = 1,587,303.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.