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Finding the Third Proportional to 221,402.25 and 458,559

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Solution

The third proportional to 221,402.25 and 458,559 is: 949,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,402.25 : 458,559 = 458,559 : x
  2. Step 2: Convert to fraction form
    221,402.25/458,559 = 458,559/x
  3. Step 3: Cross multiply
    221,402.25x = 458,559 × 458,559
  4. Step 4: Simplify right side
    221,402.25x = 210,276,356,481
  5. Step 5: Solve for x
    x = 210,276,356,481/221,402.25
  6. Step 6: Final answer
    x = 949,748.06

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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.