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Finding the Third Proportional to 313,635 and 471,161.50

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Solution

The third proportional to 313,635 and 471,161.50 is: 707,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,635 : 471,161.50 = 471,161.50 : x
  2. Step 2: Convert to fraction form
    313,635/471,161.50 = 471,161.50/x
  3. Step 3: Cross multiply
    313,635x = 471,161.50 × 471,161.50
  4. Step 4: Simplify right side
    313,635x = 221,993,159,082.25
  5. Step 5: Solve for x
    x = 221,993,159,082.25/313,635
  6. Step 6: Final answer
    x = 707,807.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.