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Finding the Third Proportional to 273,035.25 and 407,445.75

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Solution

The third proportional to 273,035.25 and 407,445.75 is: 608,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,035.25 : 407,445.75 = 407,445.75 : x
  2. Step 2: Convert to fraction form
    273,035.25/407,445.75 = 407,445.75/x
  3. Step 3: Cross multiply
    273,035.25x = 407,445.75 × 407,445.75
  4. Step 4: Simplify right side
    273,035.25x = 166,012,039,193.06
  5. Step 5: Solve for x
    x = 166,012,039,193.06/273,035.25
  6. Step 6: Final answer
    x = 608,024.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.