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Finding the Third Proportional to 305,046 and 463,788

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Solution

The third proportional to 305,046 and 463,788 is: 705,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,046 : 463,788 = 463,788 : x
  2. Step 2: Convert to fraction form
    305,046/463,788 = 463,788/x
  3. Step 3: Cross multiply
    305,046x = 463,788 × 463,788
  4. Step 4: Simplify right side
    305,046x = 215,099,308,944
  5. Step 5: Solve for x
    x = 215,099,308,944/305,046
  6. Step 6: Final answer
    x = 705,137.29

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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.