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Finding the Third Proportional to 224,822 and 470,427

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Solution

The third proportional to 224,822 and 470,427 is: 984,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,822 : 470,427 = 470,427 : x
  2. Step 2: Convert to fraction form
    224,822/470,427 = 470,427/x
  3. Step 3: Cross multiply
    224,822x = 470,427 × 470,427
  4. Step 4: Simplify right side
    224,822x = 221,301,562,329
  5. Step 5: Solve for x
    x = 221,301,562,329/224,822
  6. Step 6: Final answer
    x = 984,341.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.