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Finding the Third Proportional to 317,638.50 and 477,165

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Solution

The third proportional to 317,638.50 and 477,165 is: 716,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,638.50 : 477,165 = 477,165 : x
  2. Step 2: Convert to fraction form
    317,638.50/477,165 = 477,165/x
  3. Step 3: Cross multiply
    317,638.50x = 477,165 × 477,165
  4. Step 4: Simplify right side
    317,638.50x = 227,686,437,225
  5. Step 5: Solve for x
    x = 227,686,437,225/317,638.50
  6. Step 6: Final answer
    x = 716,809.95

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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.