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Finding the Third Proportional to 219,532 and 470,168

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Solution

The third proportional to 219,532 and 470,168 is: 1,006,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,532 : 470,168 = 470,168 : x
  2. Step 2: Convert to fraction form
    219,532/470,168 = 470,168/x
  3. Step 3: Cross multiply
    219,532x = 470,168 × 470,168
  4. Step 4: Simplify right side
    219,532x = 221,057,948,224
  5. Step 5: Solve for x
    x = 221,057,948,224/219,532
  6. Step 6: Final answer
    x = 1,006,950.91

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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.