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Finding the Third Proportional to 317,761 and 465,949.50

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Solution

The third proportional to 317,761 and 465,949.50 is: 683,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,761 : 465,949.50 = 465,949.50 : x
  2. Step 2: Convert to fraction form
    317,761/465,949.50 = 465,949.50/x
  3. Step 3: Cross multiply
    317,761x = 465,949.50 × 465,949.50
  4. Step 4: Simplify right side
    317,761x = 217,108,936,550.25
  5. Step 5: Solve for x
    x = 217,108,936,550.25/317,761
  6. Step 6: Final answer
    x = 683,246.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.