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Finding the Third Proportional to 275,952 and 604,896

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Solution

The third proportional to 275,952 and 604,896 is: 1,325,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952 : 604,896 = 604,896 : x
  2. Step 2: Convert to fraction form
    275,952/604,896 = 604,896/x
  3. Step 3: Cross multiply
    275,952x = 604,896 × 604,896
  4. Step 4: Simplify right side
    275,952x = 365,899,170,816
  5. Step 5: Solve for x
    x = 365,899,170,816/275,952
  6. Step 6: Final answer
    x = 1,325,952.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.