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Finding the Third Proportional to 407,619 and 587,128.50

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Solution

The third proportional to 407,619 and 587,128.50 is: 845,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,619 : 587,128.50 = 587,128.50 : x
  2. Step 2: Convert to fraction form
    407,619/587,128.50 = 587,128.50/x
  3. Step 3: Cross multiply
    407,619x = 587,128.50 × 587,128.50
  4. Step 4: Simplify right side
    407,619x = 344,719,875,512.25
  5. Step 5: Solve for x
    x = 344,719,875,512.25/407,619
  6. Step 6: Final answer
    x = 845,691.38

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.