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Finding the Third Proportional to 383,558.63 and 807,554.81

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Solution

The third proportional to 383,558.63 and 807,554.81 is: 1,700,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,558.63 : 807,554.81 = 807,554.81 : x
  2. Step 2: Convert to fraction form
    383,558.63/807,554.81 = 807,554.81/x
  3. Step 3: Cross multiply
    383,558.63x = 807,554.81 × 807,554.81
  4. Step 4: Simplify right side
    383,558.63x = 652,144,775,191.91
  5. Step 5: Solve for x
    x = 652,144,775,191.91/383,558.63
  6. Step 6: Final answer
    x = 1,700,247.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.