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Finding the Third Proportional to 221,400 and 458,554.50

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Solution

The third proportional to 221,400 and 458,554.50 is: 949,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,400 : 458,554.50 = 458,554.50 : x
  2. Step 2: Convert to fraction form
    221,400/458,554.50 = 458,554.50/x
  3. Step 3: Cross multiply
    221,400x = 458,554.50 × 458,554.50
  4. Step 4: Simplify right side
    221,400x = 210,272,229,470.25
  5. Step 5: Solve for x
    x = 210,272,229,470.25/221,400
  6. Step 6: Final answer
    x = 949,739.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.