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Finding the Third Proportional to 289,646 and 614,252

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Solution

The third proportional to 289,646 and 614,252 is: 1,302,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,646 : 614,252 = 614,252 : x
  2. Step 2: Convert to fraction form
    289,646/614,252 = 614,252/x
  3. Step 3: Cross multiply
    289,646x = 614,252 × 614,252
  4. Step 4: Simplify right side
    289,646x = 377,305,519,504
  5. Step 5: Solve for x
    x = 377,305,519,504/289,646
  6. Step 6: Final answer
    x = 1,302,643.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.