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Finding the Third Proportional to 221,405.75 and 458,566

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Solution

The third proportional to 221,405.75 and 458,566 is: 949,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405.75 : 458,566 = 458,566 : x
  2. Step 2: Convert to fraction form
    221,405.75/458,566 = 458,566/x
  3. Step 3: Cross multiply
    221,405.75x = 458,566 × 458,566
  4. Step 4: Simplify right side
    221,405.75x = 210,282,776,356
  5. Step 5: Solve for x
    x = 210,282,776,356/221,405.75
  6. Step 6: Final answer
    x = 949,762.04

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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.