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Finding the Third Proportional to 217,099.50 and 470,418

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Solution

The third proportional to 217,099.50 and 470,418 is: 1,019,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,099.50 : 470,418 = 470,418 : x
  2. Step 2: Convert to fraction form
    217,099.50/470,418 = 470,418/x
  3. Step 3: Cross multiply
    217,099.50x = 470,418 × 470,418
  4. Step 4: Simplify right side
    217,099.50x = 221,293,094,724
  5. Step 5: Solve for x
    x = 221,293,094,724/217,099.50
  6. Step 6: Final answer
    x = 1,019,316.46

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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.