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Finding the Third Proportional to 595,296 and 848,664

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Solution

The third proportional to 595,296 and 848,664 is: 1,209,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,296 : 848,664 = 848,664 : x
  2. Step 2: Convert to fraction form
    595,296/848,664 = 848,664/x
  3. Step 3: Cross multiply
    595,296x = 848,664 × 848,664
  4. Step 4: Simplify right side
    595,296x = 720,230,584,896
  5. Step 5: Solve for x
    x = 720,230,584,896/595,296
  6. Step 6: Final answer
    x = 1,209,869.69

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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.