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Finding the Third Proportional to 284,762 and 412,454

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Solution

The third proportional to 284,762 and 412,454 is: 597,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,762 : 412,454 = 412,454 : x
  2. Step 2: Convert to fraction form
    284,762/412,454 = 412,454/x
  3. Step 3: Cross multiply
    284,762x = 412,454 × 412,454
  4. Step 4: Simplify right side
    284,762x = 170,118,302,116
  5. Step 5: Solve for x
    x = 170,118,302,116/284,762
  6. Step 6: Final answer
    x = 597,405.21

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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.