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Finding the Third Proportional to 595,298 and 848,667

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Solution

The third proportional to 595,298 and 848,667 is: 1,209,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,298 : 848,667 = 848,667 : x
  2. Step 2: Convert to fraction form
    595,298/848,667 = 848,667/x
  3. Step 3: Cross multiply
    595,298x = 848,667 × 848,667
  4. Step 4: Simplify right side
    595,298x = 720,235,676,889
  5. Step 5: Solve for x
    x = 720,235,676,889/595,298
  6. Step 6: Final answer
    x = 1,209,874.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.