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Finding the Third Proportional to 556,857 and 848,343

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Solution

The third proportional to 556,857 and 848,343 is: 1,292,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,857 : 848,343 = 848,343 : x
  2. Step 2: Convert to fraction form
    556,857/848,343 = 848,343/x
  3. Step 3: Cross multiply
    556,857x = 848,343 × 848,343
  4. Step 4: Simplify right side
    556,857x = 719,685,845,649
  5. Step 5: Solve for x
    x = 719,685,845,649/556,857
  6. Step 6: Final answer
    x = 1,292,406.93

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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.