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Finding the Third Proportional to 579,346 and 848,278

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Solution

The third proportional to 579,346 and 848,278 is: 1,242,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,346 : 848,278 = 848,278 : x
  2. Step 2: Convert to fraction form
    579,346/848,278 = 848,278/x
  3. Step 3: Cross multiply
    579,346x = 848,278 × 848,278
  4. Step 4: Simplify right side
    579,346x = 719,575,565,284
  5. Step 5: Solve for x
    x = 719,575,565,284/579,346
  6. Step 6: Final answer
    x = 1,242,048.04

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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.