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Finding the Third Proportional to 302,961 and 460,736.63

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Solution

The third proportional to 302,961 and 460,736.63 is: 700,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,961 : 460,736.63 = 460,736.63 : x
  2. Step 2: Convert to fraction form
    302,961/460,736.63 = 460,736.63/x
  3. Step 3: Cross multiply
    302,961x = 460,736.63 × 460,736.63
  4. Step 4: Simplify right side
    302,961x = 212,278,237,616.39
  5. Step 5: Solve for x
    x = 212,278,237,616.39/302,961
  6. Step 6: Final answer
    x = 700,678.43

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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.