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Finding the Third Proportional to 337,259.50 and 518,399

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Solution

The third proportional to 337,259.50 and 518,399 is: 796,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,259.50 : 518,399 = 518,399 : x
  2. Step 2: Convert to fraction form
    337,259.50/518,399 = 518,399/x
  3. Step 3: Cross multiply
    337,259.50x = 518,399 × 518,399
  4. Step 4: Simplify right side
    337,259.50x = 268,737,523,201
  5. Step 5: Solve for x
    x = 268,737,523,201/337,259.50
  6. Step 6: Final answer
    x = 796,827.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.