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Finding the Third Proportional to 302,962.78 and 460,738.97

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Solution

The third proportional to 302,962.78 and 460,738.97 is: 700,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,962.78 : 460,738.97 = 460,738.97 : x
  2. Step 2: Convert to fraction form
    302,962.78/460,738.97 = 460,738.97/x
  3. Step 3: Cross multiply
    302,962.78x = 460,738.97 × 460,738.97
  4. Step 4: Simplify right side
    302,962.78x = 212,280,397,324.81
  5. Step 5: Solve for x
    x = 212,280,397,324.81/302,962.78
  6. Step 6: Final answer
    x = 700,681.44

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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.