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Finding the Third Proportional to 244,057 and 500,007

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Solution

The third proportional to 244,057 and 500,007 is: 1,024,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,057 : 500,007 = 500,007 : x
  2. Step 2: Convert to fraction form
    244,057/500,007 = 500,007/x
  3. Step 3: Cross multiply
    244,057x = 500,007 × 500,007
  4. Step 4: Simplify right side
    244,057x = 250,007,000,049
  5. Step 5: Solve for x
    x = 250,007,000,049/244,057
  6. Step 6: Final answer
    x = 1,024,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.