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Finding the Third Proportional to 401,709 and 550,831.50

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Solution

The third proportional to 401,709 and 550,831.50 is: 755,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,709 : 550,831.50 = 550,831.50 : x
  2. Step 2: Convert to fraction form
    401,709/550,831.50 = 550,831.50/x
  3. Step 3: Cross multiply
    401,709x = 550,831.50 × 550,831.50
  4. Step 4: Simplify right side
    401,709x = 303,415,341,392.25
  5. Step 5: Solve for x
    x = 303,415,341,392.25/401,709
  6. Step 6: Final answer
    x = 755,311.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.