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Finding the Third Proportional to 284,562 and 412,155

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Solution

The third proportional to 284,562 and 412,155 is: 596,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,562 : 412,155 = 412,155 : x
  2. Step 2: Convert to fraction form
    284,562/412,155 = 412,155/x
  3. Step 3: Cross multiply
    284,562x = 412,155 × 412,155
  4. Step 4: Simplify right side
    284,562x = 169,871,744,025
  5. Step 5: Solve for x
    x = 169,871,744,025/284,562
  6. Step 6: Final answer
    x = 596,958.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.