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Finding the Third Proportional to 219,035 and 470,792

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Solution

The third proportional to 219,035 and 470,792 is: 1,011,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,035 : 470,792 = 470,792 : x
  2. Step 2: Convert to fraction form
    219,035/470,792 = 470,792/x
  3. Step 3: Cross multiply
    219,035x = 470,792 × 470,792
  4. Step 4: Simplify right side
    219,035x = 221,645,107,264
  5. Step 5: Solve for x
    x = 221,645,107,264/219,035
  6. Step 6: Final answer
    x = 1,011,916.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.