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Finding the Third Proportional to 460,067 and 698,378

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Solution

The third proportional to 460,067 and 698,378 is: 1,060,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,067 : 698,378 = 698,378 : x
  2. Step 2: Convert to fraction form
    460,067/698,378 = 698,378/x
  3. Step 3: Cross multiply
    460,067x = 698,378 × 698,378
  4. Step 4: Simplify right side
    460,067x = 487,731,830,884
  5. Step 5: Solve for x
    x = 487,731,830,884/460,067
  6. Step 6: Final answer
    x = 1,060,132.18

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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.