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Finding the Third Proportional to 219,007.50 and 470,757

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Solution

The third proportional to 219,007.50 and 470,757 is: 1,011,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,007.50 : 470,757 = 470,757 : x
  2. Step 2: Convert to fraction form
    219,007.50/470,757 = 470,757/x
  3. Step 3: Cross multiply
    219,007.50x = 470,757 × 470,757
  4. Step 4: Simplify right side
    219,007.50x = 221,612,153,049
  5. Step 5: Solve for x
    x = 221,612,153,049/219,007.50
  6. Step 6: Final answer
    x = 1,011,892.99

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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.