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Finding the Third Proportional to 284,602 and 427,659

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Solution

The third proportional to 284,602 and 427,659 is: 642,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,602 : 427,659 = 427,659 : x
  2. Step 2: Convert to fraction form
    284,602/427,659 = 427,659/x
  3. Step 3: Cross multiply
    284,602x = 427,659 × 427,659
  4. Step 4: Simplify right side
    284,602x = 182,892,220,281
  5. Step 5: Solve for x
    x = 182,892,220,281/284,602
  6. Step 6: Final answer
    x = 642,624.51

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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.