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Finding the Third Proportional to 557,199 and 837,054

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Solution

The third proportional to 557,199 and 837,054 is: 1,257,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,199 : 837,054 = 837,054 : x
  2. Step 2: Convert to fraction form
    557,199/837,054 = 837,054/x
  3. Step 3: Cross multiply
    557,199x = 837,054 × 837,054
  4. Step 4: Simplify right side
    557,199x = 700,659,398,916
  5. Step 5: Solve for x
    x = 700,659,398,916/557,199
  6. Step 6: Final answer
    x = 1,257,467.08

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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.