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Finding the Third Proportional to 219,778 and 470,660

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Solution

The third proportional to 219,778 and 470,660 is: 1,007,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,778 : 470,660 = 470,660 : x
  2. Step 2: Convert to fraction form
    219,778/470,660 = 470,660/x
  3. Step 3: Cross multiply
    219,778x = 470,660 × 470,660
  4. Step 4: Simplify right side
    219,778x = 221,520,835,600
  5. Step 5: Solve for x
    x = 221,520,835,600/219,778
  6. Step 6: Final answer
    x = 1,007,929.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.