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Finding the Third Proportional to 337,453.50 and 712,837.50

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Solution

The third proportional to 337,453.50 and 712,837.50 is: 1,505,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,453.50 : 712,837.50 = 712,837.50 : x
  2. Step 2: Convert to fraction form
    337,453.50/712,837.50 = 712,837.50/x
  3. Step 3: Cross multiply
    337,453.50x = 712,837.50 × 712,837.50
  4. Step 4: Simplify right side
    337,453.50x = 508,137,301,406.25
  5. Step 5: Solve for x
    x = 508,137,301,406.25/337,453.50
  6. Step 6: Final answer
    x = 1,505,799.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.