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Finding the Third Proportional to 403,076.25 and 609,150.38

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Solution

The third proportional to 403,076.25 and 609,150.38 is: 920,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,076.25 : 609,150.38 = 609,150.38 : x
  2. Step 2: Convert to fraction form
    403,076.25/609,150.38 = 609,150.38/x
  3. Step 3: Cross multiply
    403,076.25x = 609,150.38 × 609,150.38
  4. Step 4: Simplify right side
    403,076.25x = 371,064,179,362.64
  5. Step 5: Solve for x
    x = 371,064,179,362.64/403,076.25
  6. Step 6: Final answer
    x = 920,580.61

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