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Finding the Third Proportional to 263,048.50 and 579,719

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Solution

The third proportional to 263,048.50 and 579,719 is: 1,277,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,048.50 : 579,719 = 579,719 : x
  2. Step 2: Convert to fraction form
    263,048.50/579,719 = 579,719/x
  3. Step 3: Cross multiply
    263,048.50x = 579,719 × 579,719
  4. Step 4: Simplify right side
    263,048.50x = 336,074,118,961
  5. Step 5: Solve for x
    x = 336,074,118,961/263,048.50
  6. Step 6: Final answer
    x = 1,277,612.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.