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Finding the Third Proportional to 216,906 and 470,012

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Solution

The third proportional to 216,906 and 470,012 is: 1,018,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,906 : 470,012 = 470,012 : x
  2. Step 2: Convert to fraction form
    216,906/470,012 = 470,012/x
  3. Step 3: Cross multiply
    216,906x = 470,012 × 470,012
  4. Step 4: Simplify right side
    216,906x = 220,911,280,144
  5. Step 5: Solve for x
    x = 220,911,280,144/216,906
  6. Step 6: Final answer
    x = 1,018,465.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.