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Finding the Third Proportional to 579,342 and 848,272

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Solution

The third proportional to 579,342 and 848,272 is: 1,242,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,342 : 848,272 = 848,272 : x
  2. Step 2: Convert to fraction form
    579,342/848,272 = 848,272/x
  3. Step 3: Cross multiply
    579,342x = 848,272 × 848,272
  4. Step 4: Simplify right side
    579,342x = 719,565,385,984
  5. Step 5: Solve for x
    x = 719,565,385,984/579,342
  6. Step 6: Final answer
    x = 1,242,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.