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Finding the Third Proportional to 282,602 and 426,783

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Solution

The third proportional to 282,602 and 426,783 is: 644,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,602 : 426,783 = 426,783 : x
  2. Step 2: Convert to fraction form
    282,602/426,783 = 426,783/x
  3. Step 3: Cross multiply
    282,602x = 426,783 × 426,783
  4. Step 4: Simplify right side
    282,602x = 182,143,729,089
  5. Step 5: Solve for x
    x = 182,143,729,089/282,602
  6. Step 6: Final answer
    x = 644,523.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.