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Finding the Third Proportional to 305,226 and 661,298

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Solution

The third proportional to 305,226 and 661,298 is: 1,432,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,226 : 661,298 = 661,298 : x
  2. Step 2: Convert to fraction form
    305,226/661,298 = 661,298/x
  3. Step 3: Cross multiply
    305,226x = 661,298 × 661,298
  4. Step 4: Simplify right side
    305,226x = 437,315,044,804
  5. Step 5: Solve for x
    x = 437,315,044,804/305,226
  6. Step 6: Final answer
    x = 1,432,758.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.