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Finding the Third Proportional to 361,144.50 and 777,789

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Solution

The third proportional to 361,144.50 and 777,789 is: 1,675,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,144.50 : 777,789 = 777,789 : x
  2. Step 2: Convert to fraction form
    361,144.50/777,789 = 777,789/x
  3. Step 3: Cross multiply
    361,144.50x = 777,789 × 777,789
  4. Step 4: Simplify right side
    361,144.50x = 604,955,728,521
  5. Step 5: Solve for x
    x = 604,955,728,521/361,144.50
  6. Step 6: Final answer
    x = 1,675,107.13

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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.