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Finding the Third Proportional to 549,314 and 848,859

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Solution

The third proportional to 549,314 and 848,859 is: 1,311,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,314 : 848,859 = 848,859 : x
  2. Step 2: Convert to fraction form
    549,314/848,859 = 848,859/x
  3. Step 3: Cross multiply
    549,314x = 848,859 × 848,859
  4. Step 4: Simplify right side
    549,314x = 720,561,601,881
  5. Step 5: Solve for x
    x = 720,561,601,881/549,314
  6. Step 6: Final answer
    x = 1,311,748.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.