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Finding the Third Proportional to 459,986 and 698,282

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Solution

The third proportional to 459,986 and 698,282 is: 1,060,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,986 : 698,282 = 698,282 : x
  2. Step 2: Convert to fraction form
    459,986/698,282 = 698,282/x
  3. Step 3: Cross multiply
    459,986x = 698,282 × 698,282
  4. Step 4: Simplify right side
    459,986x = 487,597,751,524
  5. Step 5: Solve for x
    x = 487,597,751,524/459,986
  6. Step 6: Final answer
    x = 1,060,027.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.