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Finding the Third Proportional to 337,317 and 730,684.50

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Solution

The third proportional to 337,317 and 730,684.50 is: 1,582,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,317 : 730,684.50 = 730,684.50 : x
  2. Step 2: Convert to fraction form
    337,317/730,684.50 = 730,684.50/x
  3. Step 3: Cross multiply
    337,317x = 730,684.50 × 730,684.50
  4. Step 4: Simplify right side
    337,317x = 533,899,838,540.25
  5. Step 5: Solve for x
    x = 533,899,838,540.25/337,317
  6. Step 6: Final answer
    x = 1,582,783.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.