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Finding the Third Proportional to 557,104 and 848,712

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Solution

The third proportional to 557,104 and 848,712 is: 1,292,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,104 : 848,712 = 848,712 : x
  2. Step 2: Convert to fraction form
    557,104/848,712 = 848,712/x
  3. Step 3: Cross multiply
    557,104x = 848,712 × 848,712
  4. Step 4: Simplify right side
    557,104x = 720,312,058,944
  5. Step 5: Solve for x
    x = 720,312,058,944/557,104
  6. Step 6: Final answer
    x = 1,292,957.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.