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Finding the Third Proportional to 216,396 and 470,898

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Solution

The third proportional to 216,396 and 470,898 is: 1,024,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,396 : 470,898 = 470,898 : x
  2. Step 2: Convert to fraction form
    216,396/470,898 = 470,898/x
  3. Step 3: Cross multiply
    216,396x = 470,898 × 470,898
  4. Step 4: Simplify right side
    216,396x = 221,744,926,404
  5. Step 5: Solve for x
    x = 221,744,926,404/216,396
  6. Step 6: Final answer
    x = 1,024,718.23

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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.