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Finding the Third Proportional to 601,256 and 898,965

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Solution

The third proportional to 601,256 and 898,965 is: 1,344,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,256 : 898,965 = 898,965 : x
  2. Step 2: Convert to fraction form
    601,256/898,965 = 898,965/x
  3. Step 3: Cross multiply
    601,256x = 898,965 × 898,965
  4. Step 4: Simplify right side
    601,256x = 808,138,071,225
  5. Step 5: Solve for x
    x = 808,138,071,225/601,256
  6. Step 6: Final answer
    x = 1,344,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.