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Finding the Third Proportional to 216,371.25 and 470,837.81

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Solution

The third proportional to 216,371.25 and 470,837.81 is: 1,024,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,371.25 : 470,837.81 = 470,837.81 : x
  2. Step 2: Convert to fraction form
    216,371.25/470,837.81 = 470,837.81/x
  3. Step 3: Cross multiply
    216,371.25x = 470,837.81 × 470,837.81
  4. Step 4: Simplify right side
    216,371.25x = 221,688,245,679.79
  5. Step 5: Solve for x
    x = 221,688,245,679.79/216,371.25
  6. Step 6: Final answer
    x = 1,024,573.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.