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Finding the Third Proportional to 337,114.50 and 730,483.50

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Solution

The third proportional to 337,114.50 and 730,483.50 is: 1,582,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,114.50 : 730,483.50 = 730,483.50 : x
  2. Step 2: Convert to fraction form
    337,114.50/730,483.50 = 730,483.50/x
  3. Step 3: Cross multiply
    337,114.50x = 730,483.50 × 730,483.50
  4. Step 4: Simplify right side
    337,114.50x = 533,606,143,772.25
  5. Step 5: Solve for x
    x = 533,606,143,772.25/337,114.50
  6. Step 6: Final answer
    x = 1,582,863.22

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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.