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Finding the Third Proportional to 273,564 and 400,896

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Solution

The third proportional to 273,564 and 400,896 is: 587,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,564 : 400,896 = 400,896 : x
  2. Step 2: Convert to fraction form
    273,564/400,896 = 400,896/x
  3. Step 3: Cross multiply
    273,564x = 400,896 × 400,896
  4. Step 4: Simplify right side
    273,564x = 160,717,602,816
  5. Step 5: Solve for x
    x = 160,717,602,816/273,564
  6. Step 6: Final answer
    x = 587,495.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.