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Finding the Third Proportional to 383,063 and 777,070

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Solution

The third proportional to 383,063 and 777,070 is: 1,576,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,063 : 777,070 = 777,070 : x
  2. Step 2: Convert to fraction form
    383,063/777,070 = 777,070/x
  3. Step 3: Cross multiply
    383,063x = 777,070 × 777,070
  4. Step 4: Simplify right side
    383,063x = 603,837,784,900
  5. Step 5: Solve for x
    x = 603,837,784,900/383,063
  6. Step 6: Final answer
    x = 1,576,340.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.