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Finding the Third Proportional to 407,813.25 and 614,076.75

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Solution

The third proportional to 407,813.25 and 614,076.75 is: 924,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,813.25 : 614,076.75 = 614,076.75 : x
  2. Step 2: Convert to fraction form
    407,813.25/614,076.75 = 614,076.75/x
  3. Step 3: Cross multiply
    407,813.25x = 614,076.75 × 614,076.75
  4. Step 4: Simplify right side
    407,813.25x = 377,090,254,890.56
  5. Step 5: Solve for x
    x = 377,090,254,890.56/407,813.25
  6. Step 6: Final answer
    x = 924,664.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.