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Finding the Third Proportional to 295,930 and 463,728

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Solution

The third proportional to 295,930 and 463,728 is: 726,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,930 : 463,728 = 463,728 : x
  2. Step 2: Convert to fraction form
    295,930/463,728 = 463,728/x
  3. Step 3: Cross multiply
    295,930x = 463,728 × 463,728
  4. Step 4: Simplify right side
    295,930x = 215,043,657,984
  5. Step 5: Solve for x
    x = 215,043,657,984/295,930
  6. Step 6: Final answer
    x = 726,670.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.