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Finding the Third Proportional to 219,737.25 and 470,578.50

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Solution

The third proportional to 219,737.25 and 470,578.50 is: 1,007,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,737.25 : 470,578.50 = 470,578.50 : x
  2. Step 2: Convert to fraction form
    219,737.25/470,578.50 = 470,578.50/x
  3. Step 3: Cross multiply
    219,737.25x = 470,578.50 × 470,578.50
  4. Step 4: Simplify right side
    219,737.25x = 221,444,124,662.25
  5. Step 5: Solve for x
    x = 221,444,124,662.25/219,737.25
  6. Step 6: Final answer
    x = 1,007,767.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.