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Finding the Third Proportional to 228,154 and 470,762

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Solution

The third proportional to 228,154 and 470,762 is: 971,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,154 : 470,762 = 470,762 : x
  2. Step 2: Convert to fraction form
    228,154/470,762 = 470,762/x
  3. Step 3: Cross multiply
    228,154x = 470,762 × 470,762
  4. Step 4: Simplify right side
    228,154x = 221,616,860,644
  5. Step 5: Solve for x
    x = 221,616,860,644/228,154
  6. Step 6: Final answer
    x = 971,347.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.