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Finding the Third Proportional to 214,390.50 and 423,360

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Solution

The third proportional to 214,390.50 and 423,360 is: 836,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,390.50 : 423,360 = 423,360 : x
  2. Step 2: Convert to fraction form
    214,390.50/423,360 = 423,360/x
  3. Step 3: Cross multiply
    214,390.50x = 423,360 × 423,360
  4. Step 4: Simplify right side
    214,390.50x = 179,233,689,600
  5. Step 5: Solve for x
    x = 179,233,689,600/214,390.50
  6. Step 6: Final answer
    x = 836,015.07

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.