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Finding the Third Proportional to 579,348 and 848,282

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Solution

The third proportional to 579,348 and 848,282 is: 1,242,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,348 : 848,282 = 848,282 : x
  2. Step 2: Convert to fraction form
    579,348/848,282 = 848,282/x
  3. Step 3: Cross multiply
    579,348x = 848,282 × 848,282
  4. Step 4: Simplify right side
    579,348x = 719,582,351,524
  5. Step 5: Solve for x
    x = 719,582,351,524/579,348
  6. Step 6: Final answer
    x = 1,242,055.47

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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.