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Finding the Third Proportional to 214,264 and 470,559

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Solution

The third proportional to 214,264 and 470,559 is: 1,033,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,264 : 470,559 = 470,559 : x
  2. Step 2: Convert to fraction form
    214,264/470,559 = 470,559/x
  3. Step 3: Cross multiply
    214,264x = 470,559 × 470,559
  4. Step 4: Simplify right side
    214,264x = 221,425,772,481
  5. Step 5: Solve for x
    x = 221,425,772,481/214,264
  6. Step 6: Final answer
    x = 1,033,424.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.