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Finding the Third Proportional to 579,344 and 848,276

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Solution

The third proportional to 579,344 and 848,276 is: 1,242,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,344 : 848,276 = 848,276 : x
  2. Step 2: Convert to fraction form
    579,344/848,276 = 848,276/x
  3. Step 3: Cross multiply
    579,344x = 848,276 × 848,276
  4. Step 4: Simplify right side
    579,344x = 719,572,172,176
  5. Step 5: Solve for x
    x = 719,572,172,176/579,344
  6. Step 6: Final answer
    x = 1,242,046.47

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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.