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Finding the Third Proportional to 305,051 and 463,796

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Solution

The third proportional to 305,051 and 463,796 is: 705,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,051 : 463,796 = 463,796 : x
  2. Step 2: Convert to fraction form
    305,051/463,796 = 463,796/x
  3. Step 3: Cross multiply
    305,051x = 463,796 × 463,796
  4. Step 4: Simplify right side
    305,051x = 215,106,729,616
  5. Step 5: Solve for x
    x = 215,106,729,616/305,051
  6. Step 6: Final answer
    x = 705,150.06

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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.