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Finding the Third Proportional to 293,250 and 653,892

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Solution

The third proportional to 293,250 and 653,892 is: 1,458,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,250 : 653,892 = 653,892 : x
  2. Step 2: Convert to fraction form
    293,250/653,892 = 653,892/x
  3. Step 3: Cross multiply
    293,250x = 653,892 × 653,892
  4. Step 4: Simplify right side
    293,250x = 427,574,747,664
  5. Step 5: Solve for x
    x = 427,574,747,664/293,250
  6. Step 6: Final answer
    x = 1,458,055.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.