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Finding the Third Proportional to 459,793.50 and 683,127.75

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Solution

The third proportional to 459,793.50 and 683,127.75 is: 1,014,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,793.50 : 683,127.75 = 683,127.75 : x
  2. Step 2: Convert to fraction form
    459,793.50/683,127.75 = 683,127.75/x
  3. Step 3: Cross multiply
    459,793.50x = 683,127.75 × 683,127.75
  4. Step 4: Simplify right side
    459,793.50x = 466,663,522,820.06
  5. Step 5: Solve for x
    x = 466,663,522,820.06/459,793.50
  6. Step 6: Final answer
    x = 1,014,941.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.