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Finding the Third Proportional to 283,812 and 426,913.50

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Solution

The third proportional to 283,812 and 426,913.50 is: 642,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,812 : 426,913.50 = 426,913.50 : x
  2. Step 2: Convert to fraction form
    283,812/426,913.50 = 426,913.50/x
  3. Step 3: Cross multiply
    283,812x = 426,913.50 × 426,913.50
  4. Step 4: Simplify right side
    283,812x = 182,255,136,482.25
  5. Step 5: Solve for x
    x = 182,255,136,482.25/283,812
  6. Step 6: Final answer
    x = 642,168.54

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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.