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Finding the Third Proportional to 288,381,451.50 and 446,821,393.50

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Solution

The third proportional to 288,381,451.50 and 446,821,393.50 is: 692,309,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,381,451.50 : 446,821,393.50 = 446,821,393.50 : x
  2. Step 2: Convert to fraction form
    288,381,451.50/446,821,393.50 = 446,821,393.50/x
  3. Step 3: Cross multiply
    288,381,451.50x = 446,821,393.50 × 446,821,393.50
  4. Step 4: Simplify right side
    288,381,451.50x = 199,649,357,689,281,856
  5. Step 5: Solve for x
    x = 199,649,357,689,281,856/288,381,451.50
  6. Step 6: Final answer
    x = 692,309,982.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.