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Finding the Third Proportional to 244,051.88 and 499,995

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Solution

The third proportional to 244,051.88 and 499,995 is: 1,024,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,051.88 : 499,995 = 499,995 : x
  2. Step 2: Convert to fraction form
    244,051.88/499,995 = 499,995/x
  3. Step 3: Cross multiply
    244,051.88x = 499,995 × 499,995
  4. Step 4: Simplify right side
    244,051.88x = 249,995,000,025
  5. Step 5: Solve for x
    x = 249,995,000,025/244,051.88
  6. Step 6: Final answer
    x = 1,024,351.89

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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.